Greatest Common Factor of 624 and 627

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, 627 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 624 and 627 is 3.

GCF(624,627) = 3

GCF of 624 and 627

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

GCF of:
and

Greatest Common Factor of 624 and 627

GCF of 624 and 627 is 3

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 627


3 627
11 209
19 19
1

Prime factors of 627 are 3,11,19. Prime factorization of 627 in exponential form is:

627 = 31×111×191

∴ So by taking common prime factors GCF of 624 and 627 is 3

Greatest Common Factor of 624 and 627 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 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors and prime factorization of 624 and 627. The biggest common factor number is the GCF number.
So the greatest common factor 624 and 627 is 3.

Also check out the Least Common Multiple of 624 and 627

Properties of GCF 624 and 627

(i) The GCF of 624 and 627 is associative

GCF of 624 and 627 = GCF of 627 and 624

Related Greatest Common Factor of 624

Related Greatest Common Factor of 627

Frequently Asked Questions on GCF of 624 and 627

1. What is the GCF of 624 and 627?

Answer: GCF of 624 and 627 is 3.

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 627?

Answer: Factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627. There are 8 integers that are factors of 627. The greatest factor of 627 is 627.

4. How to Find the GCF of 624 and 627?

Answer:

Greatest Common Factor of 624 and 627 = 3

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 627

627 = 3 x 11 x 19

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

GCF = 3

Step 4: Therefore, the greatest common factor of 624 and 627 is 3