Greatest Common Factor of 624 and 628

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 624, 628 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 624 and 628 is 4.

GCF(624,628) = 4

GCF of 624 and 628

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

GCF of:
and

Greatest Common Factor of 624 and 628

GCF of 624 and 628 is 4

Prime Factorization of 624


2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 624 are 2,3,13. Prime factorization of 624 in exponential form is:

624 = 24×31×131

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

∴ So by taking common prime factors GCF of 624 and 628 is 4

Greatest Common Factor of 624 and 628 by matching factors method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 628

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

1,2,4,157,314,628

Greatest Common Factor

We found the factors and prime factorization of 624 and 628. The biggest common factor number is the GCF number.
So the greatest common factor 624 and 628 is 4.

Also check out the Least Common Multiple of 624 and 628

Properties of GCF 624 and 628

(i) The GCF of 624 and 628 is associative

GCF of 624 and 628 = GCF of 628 and 624

Related Greatest Common Factor of 624

Related Greatest Common Factor of 628

Frequently Asked Questions on GCF of 624 and 628

1. What is the GCF of 624 and 628?

Answer: GCF of 624 and 628 is 4.

2. What are the Factors of 624?

Answer: Factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624. There are 20 integers that are factors of 624. The greatest factor of 624 is 624.

3. 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.

4. How to Find the GCF of 624 and 628?

Answer:

Greatest Common Factor of 624 and 628 = 4

Step 1: Find the prime factorization of 624

624 = 2 x 2 x 2 x 2 x 3 x 13

Step 2: Find the prime factorization of 628

628 = 2 x 2 x 157

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 624 and 628 is 4