Greatest Common Factor of 636 and 644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 636, 644 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 636 and 644 is 4.

GCF(636,644) = 4

GCF of 636 and 644

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

GCF of:
and

Greatest Common Factor of 636 and 644

GCF of 636 and 644 is 4

Prime Factorization of 636


2 636
2 318
3 159
53 53
1

Prime factors of 636 are 2,3,53. Prime factorization of 636 in exponential form is:

636 = 22×31×531

Prime Factorization of 644


2 644
2 322
7 161
23 23
1

Prime factors of 644 are 2,7,23. Prime factorization of 644 in exponential form is:

644 = 22×71×231

∴ So by taking common prime factors GCF of 636 and 644 is 4

Greatest Common Factor of 636 and 644 by matching factors method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors and prime factorization of 636 and 644. The biggest common factor number is the GCF number.
So the greatest common factor 636 and 644 is 4.

Also check out the Least Common Multiple of 636 and 644

Properties of GCF 636 and 644

(i) The GCF of 636 and 644 is associative

GCF of 636 and 644 = GCF of 644 and 636

Related Greatest Common Factor of 636

Related Greatest Common Factor of 644

Frequently Asked Questions on GCF of 636 and 644

1. What is the GCF of 636 and 644?

Answer: GCF of 636 and 644 is 4.

2. What are the Factors of 636?

Answer: Factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636. There are 12 integers that are factors of 636. The greatest factor of 636 is 636.

3. What are the Factors of 644?

Answer: Factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644. There are 12 integers that are factors of 644. The greatest factor of 644 is 644.

4. How to Find the GCF of 636 and 644?

Answer:

Greatest Common Factor of 636 and 644 = 4

Step 1: Find the prime factorization of 636

636 = 2 x 2 x 3 x 53

Step 2: Find the prime factorization of 644

644 = 2 x 2 x 7 x 23

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 636 and 644 is 4