Greatest Common Factor of 634 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 634, 642 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 634 and 642 is 2.

GCF(634,642) = 2

GCF of 634 and 642

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

GCF of:
and

Greatest Common Factor of 634 and 642

GCF of 634 and 642 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 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 634 and 642 is 2

Greatest Common Factor of 634 and 642 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 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 634 and 642. The biggest common factor number is the GCF number.
So the greatest common factor 634 and 642 is 2.

Also check out the Least Common Multiple of 634 and 642

Properties of GCF 634 and 642

(i) The GCF of 634 and 642 is associative

GCF of 634 and 642 = GCF of 642 and 634

Related Greatest Common Factor of 634

Related Greatest Common Factor of 642

Frequently Asked Questions on GCF of 634 and 642

1. What is the GCF of 634 and 642?

Answer: GCF of 634 and 642 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 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 634 and 642?

Answer:

Greatest Common Factor of 634 and 642 = 2

Step 1: Find the prime factorization of 634

634 = 2 x 317

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 634 and 642 is 2