Greatest Common Factor of 630 and 634

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, 634 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 630 and 634 is 2.

GCF(630,634) = 2

GCF of 630 and 634

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

GCF of:
and

Greatest Common Factor of 630 and 634

GCF of 630 and 634 is 2

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 634


2 634
317 317
1

Prime factors of 634 are 2,317. Prime factorization of 634 in exponential form is:

634 = 21×3171

∴ So by taking common prime factors GCF of 630 and 634 is 2

Greatest Common Factor of 630 and 634 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 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors and prime factorization of 630 and 634. The biggest common factor number is the GCF number.
So the greatest common factor 630 and 634 is 2.

Also check out the Least Common Multiple of 630 and 634

Properties of GCF 630 and 634

(i) The GCF of 630 and 634 is associative

GCF of 630 and 634 = GCF of 634 and 630

Related Greatest Common Factor of 630

Related Greatest Common Factor of 634

Frequently Asked Questions on GCF of 630 and 634

1. What is the GCF of 630 and 634?

Answer: GCF of 630 and 634 is 2.

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 634?

Answer: Factors of 634 are 1, 2, 317, 634. There are 4 integers that are factors of 634. The greatest factor of 634 is 634.

4. How to Find the GCF of 630 and 634?

Answer:

Greatest Common Factor of 630 and 634 = 2

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 634

634 = 2 x 317

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

GCF = 2

Step 4: Therefore, the greatest common factor of 630 and 634 is 2