Greatest Common Factor of 630 and 632

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

Greatest common factor (GCF) of 630 and 632 is 2.

GCF(630,632) = 2

GCF of 630 and 632

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

GCF of:
and

Greatest Common Factor of 630 and 632

GCF of 630 and 632 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 632


2 632
2 316
2 158
79 79
1

Prime factors of 632 are 2,79. Prime factorization of 632 in exponential form is:

632 = 23×791

∴ So by taking common prime factors GCF of 630 and 632 is 2

Greatest Common Factor of 630 and 632 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 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors and prime factorization of 630 and 632. The biggest common factor number is the GCF number.
So the greatest common factor 630 and 632 is 2.

Also check out the Least Common Multiple of 630 and 632

Properties of GCF 630 and 632

(i) The GCF of 630 and 632 is associative

GCF of 630 and 632 = GCF of 632 and 630

Related Greatest Common Factor of 630

Related Greatest Common Factor of 632

Frequently Asked Questions on GCF of 630 and 632

1. What is the GCF of 630 and 632?

Answer: GCF of 630 and 632 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 632?

Answer: Factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632. There are 8 integers that are factors of 632. The greatest factor of 632 is 632.

4. How to Find the GCF of 630 and 632?

Answer:

Greatest Common Factor of 630 and 632 = 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 632

632 = 2 x 2 x 2 x 79

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 632 is 2