Greatest Common Factor of 630 and 637

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 630, 637 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 630 and 637 is 7.

GCF(630,637) = 7

GCF of 630 and 637

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

GCF of:
and

Greatest Common Factor of 630 and 637

GCF of 630 and 637 is 7

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

Prime Factorization of 637


7 637
7 91
13 13
1

Prime factors of 637 are 7,13. Prime factorization of 637 in exponential form is:

637 = 72×131

∴ So by taking common prime factors GCF of 630 and 637 is 7

Greatest Common Factor of 630 and 637 by matching factors method

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

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors and prime factorization of 630 and 637. The biggest common factor number is the GCF number.
So the greatest common factor 630 and 637 is 7.

Also check out the Least Common Multiple of 630 and 637

Properties of GCF 630 and 637

(i) The GCF of 630 and 637 is associative

GCF of 630 and 637 = GCF of 637 and 630

Related Greatest Common Factor of 630

Related Greatest Common Factor of 637

Frequently Asked Questions on GCF of 630 and 637

1. What is the GCF of 630 and 637?

Answer: GCF of 630 and 637 is 7.

2. 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.

3. What are the Factors of 637?

Answer: Factors of 637 are 1, 7, 13, 49, 91, 637. There are 6 integers that are factors of 637. The greatest factor of 637 is 637.

4. How to Find the GCF of 630 and 637?

Answer:

Greatest Common Factor of 630 and 637 = 7

Step 1: Find the prime factorization of 630

630 = 2 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 637

637 = 7 x 7 x 13

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

GCF = 7

Step 4: Therefore, the greatest common factor of 630 and 637 is 7