# Greatest Common Factor of 36 and 44

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 36, 44 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36 and 44 is 4.

GCF(36,44) = 4

## GCF of 36 and 44

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

### Greatest Common Factor of 36 and 44 by Prime factorization method

Prime Factorization of 36

 2 36 2 18 3 9 3 3 1

Prime factors of 36 are 2,3. Prime factorization of 36 in exponential form is:

36 = 22×32

Prime Factorization of 44

 2 44 2 22 11 11 1

Prime factors of 44 are 2,11. Prime factorization of 44 in exponential form is:

44 = 22×111

∴ So by taking common prime factors GCF of 36 and 44 is 4

### Greatest Common Factor of 36 and 44 by matching factors method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Greatest Common Factor

We found the factors and prime factorization of 36 and 44. The biggest common factor number is the GCF number.
So the greatest common factor 36 and 44 is 4.

Also check out the Least Common Multiple of 36 and 44

### Properties of GCF 36 and 44

(i) The GCF of 36 and 44 is associative

GCF of 36 and 44 = GCF of 44 and 36

### Frequently Asked Questions on GCF of 36 and 44

1. What is the GCF of 36 and 44?

Answer: GCF of 36 and 44 is 4.

2. What are the Factors of 36?

Answer: Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. There are 9 integers that are factors of 36. The greatest factor of 36 is 36.

3. What are the Factors of 44?

Answer: Factors of 44 are 1, 2, 4, 11, 22, 44. There are 6 integers that are factors of 44. The greatest factor of 44 is 44.

4. How to Find the GCF of 36 and 44?

Greatest Common Factor of 36 and 44 = 4

Step 1: Find the prime factorization of 36

36 = 2 x 2 x 3 x 3

Step 2: Find the prime factorization of 44

44 = 2 x 2 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 36 and 44 is 4