Greatest Common Factor of 624 and 630

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, 630 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 624 and 630 is 6.

GCF(624,630) = 6

GCF of 624 and 630

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

GCF of:
and

Greatest Common Factor of 624 and 630

GCF of 624 and 630 is 6

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 630


2 630
3 315
3 105
5 35
7 7
1

Prime factors of 630 are 2,3,5,7. Prime factorization of 630 in exponential form is:

630 = 21×32×51×71

∴ So by taking common prime factors GCF of 624 and 630 is 6

Greatest Common Factor of 624 and 630 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 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors and prime factorization of 624 and 630. The biggest common factor number is the GCF number.
So the greatest common factor 624 and 630 is 6.

Also check out the Least Common Multiple of 624 and 630

Properties of GCF 624 and 630

(i) The GCF of 624 and 630 is associative

GCF of 624 and 630 = GCF of 630 and 624

Related Greatest Common Factor of 624

Related Greatest Common Factor of 630

Frequently Asked Questions on GCF of 624 and 630

1. What is the GCF of 624 and 630?

Answer: GCF of 624 and 630 is 6.

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 630?

Answer: Factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630. There are 24 integers that are factors of 630. The greatest factor of 630 is 630.

4. How to Find the GCF of 624 and 630?

Answer:

Greatest Common Factor of 624 and 630 = 6

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 630

630 = 2 x 3 x 3 x 5 x 7

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 624 and 630 is 6