Greatest Common Factor of 642 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 642, 644 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 642 and 644 is 2.

GCF(642,644) = 2

GCF of 642 and 644

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

GCF of:
and

Greatest Common Factor of 642 and 644

GCF of 642 and 644 is 2

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

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 642 and 644 is 2

Greatest Common Factor of 642 and 644 by matching factors method

Factors of 642

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

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

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 642 and 644. The biggest common factor number is the GCF number.
So the greatest common factor 642 and 644 is 2.

Also check out the Least Common Multiple of 642 and 644

Properties of GCF 642 and 644

(i) The GCF of 642 and 644 is associative

GCF of 642 and 644 = GCF of 644 and 642

Related Greatest Common Factor of 642

Related Greatest Common Factor of 644

Frequently Asked Questions on GCF of 642 and 644

1. What is the GCF of 642 and 644?

Answer: GCF of 642 and 644 is 2.

2. 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.

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 642 and 644?

Answer:

Greatest Common Factor of 642 and 644 = 2

Step 1: Find the prime factorization of 642

642 = 2 x 3 x 107

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 642 and 644 is 2