Greatest Common Factor of 630 and 638

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

Greatest common factor (GCF) of 630 and 638 is 2.

GCF(630,638) = 2

GCF of 630 and 638

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

GCF of:
and

Greatest Common Factor of 630 and 638

GCF of 630 and 638 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 638


2 638
11 319
29 29
1

Prime factors of 638 are 2,11,29. Prime factorization of 638 in exponential form is:

638 = 21×111×291

∴ So by taking common prime factors GCF of 630 and 638 is 2

Greatest Common Factor of 630 and 638 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 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors and prime factorization of 630 and 638. The biggest common factor number is the GCF number.
So the greatest common factor 630 and 638 is 2.

Also check out the Least Common Multiple of 630 and 638

Properties of GCF 630 and 638

(i) The GCF of 630 and 638 is associative

GCF of 630 and 638 = GCF of 638 and 630

Related Greatest Common Factor of 630

Related Greatest Common Factor of 638

Frequently Asked Questions on GCF of 630 and 638

1. What is the GCF of 630 and 638?

Answer: GCF of 630 and 638 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 638?

Answer: Factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638. There are 8 integers that are factors of 638. The greatest factor of 638 is 638.

4. How to Find the GCF of 630 and 638?

Answer:

Greatest Common Factor of 630 and 638 = 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 638

638 = 2 x 11 x 29

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 638 is 2