Greatest Common Factor of 628 and 636

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 628, 636 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 628 and 636 is 4.

GCF(628,636) = 4

GCF of 628 and 636

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

GCF of:
and

Greatest Common Factor of 628 and 636

GCF of 628 and 636 is 4

Prime Factorization of 628


2 628
2 314
157 157
1

Prime factors of 628 are 2,157. Prime factorization of 628 in exponential form is:

628 = 22×1571

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

∴ So by taking common prime factors GCF of 628 and 636 is 4

Greatest Common Factor of 628 and 636 by matching factors method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

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

Greatest Common Factor

We found the factors and prime factorization of 628 and 636. The biggest common factor number is the GCF number.
So the greatest common factor 628 and 636 is 4.

Also check out the Least Common Multiple of 628 and 636

Properties of GCF 628 and 636

(i) The GCF of 628 and 636 is associative

GCF of 628 and 636 = GCF of 636 and 628

Related Greatest Common Factor of 628

Related Greatest Common Factor of 636

Frequently Asked Questions on GCF of 628 and 636

1. What is the GCF of 628 and 636?

Answer: GCF of 628 and 636 is 4.

2. What are the Factors of 628?

Answer: Factors of 628 are 1, 2, 4, 157, 314, 628. There are 6 integers that are factors of 628. The greatest factor of 628 is 628.

3. 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.

4. How to Find the GCF of 628 and 636?

Answer:

Greatest Common Factor of 628 and 636 = 4

Step 1: Find the prime factorization of 628

628 = 2 x 2 x 157

Step 2: Find the prime factorization of 636

636 = 2 x 2 x 3 x 53

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 628 and 636 is 4