Greatest Common Factor of 638 and 646

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 638, 646 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 638 and 646 is 2.

GCF(638,646) = 2

GCF of 638 and 646

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

GCF of:
and

Greatest Common Factor of 638 and 646

GCF of 638 and 646 is 2

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

Prime Factorization of 646


2 646
17 323
19 19
1

Prime factors of 646 are 2,17,19. Prime factorization of 646 in exponential form is:

646 = 21×171×191

∴ So by taking common prime factors GCF of 638 and 646 is 2

Greatest Common Factor of 638 and 646 by matching factors method

Factors of 638

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

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

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors and prime factorization of 638 and 646. The biggest common factor number is the GCF number.
So the greatest common factor 638 and 646 is 2.

Also check out the Least Common Multiple of 638 and 646

Properties of GCF 638 and 646

(i) The GCF of 638 and 646 is associative

GCF of 638 and 646 = GCF of 646 and 638

Related Greatest Common Factor of 638

Related Greatest Common Factor of 646

Frequently Asked Questions on GCF of 638 and 646

1. What is the GCF of 638 and 646?

Answer: GCF of 638 and 646 is 2.

2. 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.

3. What are the Factors of 646?

Answer: Factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646. There are 8 integers that are factors of 646. The greatest factor of 646 is 646.

4. How to Find the GCF of 638 and 646?

Answer:

Greatest Common Factor of 638 and 646 = 2

Step 1: Find the prime factorization of 638

638 = 2 x 11 x 29

Step 2: Find the prime factorization of 646

646 = 2 x 17 x 19

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 638 and 646 is 2