GCF that 32 and also 36 is the largest feasible number that divides 32 and also 36 precisely without any type of remainder. The factors of 32 and 36 space 1, 2, 4, 8, 16, 32 and 1, 2, 3, 4, 6, 9, 12, 18, 36 respectively. There room 3 generally used approaches to discover the GCF of 32 and 36 - Euclidean algorithm, lengthy division, and prime factorization.

You are watching: Greatest common factor of 32 and 36

1. | GCF the 32 and also 36 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** GCF of 32 and 36 is 4.

**Explanation: **

The GCF of two non-zero integers, x(32) and also y(36), is the biggest positive creature m(4) the divides both x(32) and also y(36) without any remainder.

The methods to discover the GCF that 32 and 36 are explained below.

Listing typical FactorsLong division MethodPrime administer Method### GCF of 32 and 36 through Listing usual Factors

**Factors of 32:**1, 2, 4, 8, 16, 32

**Factors the 36:**1, 2, 3, 4, 6, 9, 12, 18, 36

There space 3 typical factors of 32 and also 36, that space 1, 2, and also 4. Therefore, the greatest common factor the 32 and 36 is 4.

### GCF of 32 and also 36 by lengthy Division

GCF that 32 and also 36 is the divisor the we acquire when the remainder i do not care 0 ~ doing long department repeatedly.

**Step 2:**since the remainder ≠ 0, we will divide the divisor of step 1 (32) through the remainder (4).

**Step 3:**Repeat this process until the remainder = 0.

The equivalent divisor (4) is the GCF that 32 and also 36.

### GCF the 32 and 36 by prime Factorization

Prime administrate of 32 and also 36 is (2 × 2 × 2 × 2 × 2) and also (2 × 2 × 3 × 3) respectively. As visible, 32 and 36 have usual prime factors. Hence, the GCF the 32 and also 36 is 2 × 2 = 4.

**☛ likewise Check:**

## GCF the 32 and 36 Examples

**Example 1: uncover the best number that divides 32 and 36 exactly. **

**Solution: **

The best number the divides 32 and 36 specifically is your greatest usual factor, i.e. GCF that 32 and 36.⇒ factors of 32 and 36:

Factors that 32 = 1, 2, 4, 8, 16, 32Factors that 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36Therefore, the GCF that 32 and 36 is 4.

**Example 2: find the GCF that 32 and also 36, if your LCM is 288. **

**Solution: **

∵ LCM × GCF = 32 × 36⇒ GCF(32, 36) = (32 × 36)/288 = 4Therefore, the greatest usual factor the 32 and also 36 is 4.

**Example 3: For 2 numbers, GCF = 4 and also LCM = 288. If one number is 36, find the various other number.**

**Solution:**

Given: GCF (y, 36) = 4 and LCM (y, 36) = 288∵ GCF × LCM = 36 × (y)⇒ y = (GCF × LCM)/36⇒ y = (4 × 288)/36⇒ y = 32Therefore, the various other number is 32.

Show solution >

go to slidego to slidego to slide

Ready to see the human being through math’s eyes?

Math is at the main point of every little thing we do. Enjoy solving real-world math difficulties in live classes and also become an skilled at everything.

Book a complimentary Trial Class

## FAQs top top GCF the 32 and also 36

### What is the GCF the 32 and also 36?

The **GCF that 32 and also 36 is 4**. To calculate the GCF that 32 and also 36, we require to element each number (factors the 32 = 1, 2, 4, 8, 16, 32; determinants of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36) and choose the greatest factor that precisely divides both 32 and 36, i.e., 4.

### What room the methods to discover GCF that 32 and 36?

There space three frequently used methods to find the **GCF of 32 and also 36**.

### How to uncover the GCF that 32 and also 36 through Long division Method?

To uncover the GCF of 32, 36 making use of long department method, 36 is separated by 32. The equivalent divisor (4) once remainder equals 0 is taken together GCF.

### If the GCF of 36 and also 32 is 4, discover its LCM.

See more: What Is 170 Degrees Celsius In Fahrenheit (°C To °F), 170 Degrees Celsius To Fahrenheit

GCF(36, 32) × LCM(36, 32) = 36 × 32Since the GCF that 36 and also 32 = 4⇒ 4 × LCM(36, 32) = 1152Therefore, LCM = 288☛ Greatest typical Factor Calculator

### What is the Relation in between LCM and also GCF of 32, 36?

The following equation deserve to be used to refer the relation between Least usual Multiple and GCF of 32 and also 36, i.e. GCF × LCM = 32 × 36.

### How to find the GCF that 32 and 36 by prime Factorization?

To uncover the GCF the 32 and also 36, us will discover the element factorization of the provided numbers, i.e. 32 = 2 × 2 × 2 × 2 × 2; 36 = 2 × 2 × 3 × 3.⇒ because 2, 2 are typical terms in the prime factorization the 32 and 36. Hence, GCF(32, 36) = 2 × 2 = 4☛ What is a element Number?