Greatest Common Factor of 634 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 634, 638 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 634 and 638 is 2.

GCF(634,638) = 2

GCF of 634 and 638

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

GCF of:
and

Greatest Common Factor of 634 and 638

GCF of 634 and 638 is 2

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

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 634 and 638 is 2

Greatest Common Factor of 634 and 638 by matching factors method

Factors of 634

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

1,2,317,634

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 634 and 638. The biggest common factor number is the GCF number.
So the greatest common factor 634 and 638 is 2.

Also check out the Least Common Multiple of 634 and 638

Properties of GCF 634 and 638

(i) The GCF of 634 and 638 is associative

GCF of 634 and 638 = GCF of 638 and 634

Related Greatest Common Factor of 634

Related Greatest Common Factor of 638

Frequently Asked Questions on GCF of 634 and 638

1. What is the GCF of 634 and 638?

Answer: GCF of 634 and 638 is 2.

2. 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.

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 634 and 638?

Answer:

Greatest Common Factor of 634 and 638 = 2

Step 1: Find the prime factorization of 634

634 = 2 x 317

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 634 and 638 is 2