Greatest Common Factor of 638 and 644

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

Greatest common factor (GCF) of 638 and 644 is 2.

GCF(638,644) = 2

GCF of 638 and 644

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

GCF of:
and

Greatest Common Factor of 638 and 644

GCF of 638 and 644 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 644


2 644
2 322
7 161
23 23
1

Prime factors of 644 are 2,7,23. Prime factorization of 644 in exponential form is:

644 = 22×71×231

∴ So by taking common prime factors GCF of 638 and 644 is 2

Greatest Common Factor of 638 and 644 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 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors and prime factorization of 638 and 644. The biggest common factor number is the GCF number.
So the greatest common factor 638 and 644 is 2.

Also check out the Least Common Multiple of 638 and 644

Properties of GCF 638 and 644

(i) The GCF of 638 and 644 is associative

GCF of 638 and 644 = GCF of 644 and 638

Related Greatest Common Factor of 638

Related Greatest Common Factor of 644

Frequently Asked Questions on GCF of 638 and 644

1. What is the GCF of 638 and 644?

Answer: GCF of 638 and 644 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 644?

Answer: Factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644. There are 12 integers that are factors of 644. The greatest factor of 644 is 644.

4. How to Find the GCF of 638 and 644?

Answer:

Greatest Common Factor of 638 and 644 = 2

Step 1: Find the prime factorization of 638

638 = 2 x 11 x 29

Step 2: Find the prime factorization of 644

644 = 2 x 2 x 7 x 23

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 644 is 2