Greatest Common Factor of 638 and 642

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

Greatest common factor (GCF) of 638 and 642 is 2.

GCF(638,642) = 2

GCF of 638 and 642

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

GCF of:
and

Greatest Common Factor of 638 and 642

GCF of 638 and 642 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 642


2 642
3 321
107 107
1

Prime factors of 642 are 2,3,107. Prime factorization of 642 in exponential form is:

642 = 21×31×1071

∴ So by taking common prime factors GCF of 638 and 642 is 2

Greatest Common Factor of 638 and 642 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 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors and prime factorization of 638 and 642. The biggest common factor number is the GCF number.
So the greatest common factor 638 and 642 is 2.

Also check out the Least Common Multiple of 638 and 642

Properties of GCF 638 and 642

(i) The GCF of 638 and 642 is associative

GCF of 638 and 642 = GCF of 642 and 638

Related Greatest Common Factor of 638

Related Greatest Common Factor of 642

Frequently Asked Questions on GCF of 638 and 642

1. What is the GCF of 638 and 642?

Answer: GCF of 638 and 642 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 642?

Answer: Factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642. There are 8 integers that are factors of 642. The greatest factor of 642 is 642.

4. How to Find the GCF of 638 and 642?

Answer:

Greatest Common Factor of 638 and 642 = 2

Step 1: Find the prime factorization of 638

638 = 2 x 11 x 29

Step 2: Find the prime factorization of 642

642 = 2 x 3 x 107

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 642 is 2