Greatest Common Factor of 6634 and 6642

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 6634, 6642 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6634 and 6642 is 2.

GCF(6634,6642) = 2

GCF of 6634 and 6642

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

GCF of:
and

Greatest Common Factor of 6634 and 6642

GCF of 6634 and 6642 is 2

Prime Factorization of 6634


2 6634
31 3317
107 107
1

Prime factors of 6634 are 2,31,107. Prime factorization of 6634 in exponential form is:

6634 = 21×311×1071

Prime Factorization of 6642


2 6642
3 3321
3 1107
3 369
3 123
41 41
1

Prime factors of 6642 are 2,3,41. Prime factorization of 6642 in exponential form is:

6642 = 21×34×411

∴ So by taking common prime factors GCF of 6634 and 6642 is 2

Greatest Common Factor of 6634 and 6642 by matching factors method

Factors of 6634

List of positive integer factors of 6634 that divides 6634 without a remainder.

1,2,31,62,107,214,3317,6634

Factors of 6642

List of positive integer factors of 6642 that divides 6642 without a remainder.

1,2,3,6,9,18,27,41,54,81,82,123,162,246,369,738,1107,2214,3321,6642

Greatest Common Factor

We found the factors and prime factorization of 6634 and 6642. The biggest common factor number is the GCF number.
So the greatest common factor 6634 and 6642 is 2.

Also check out the Least Common Multiple of 6634 and 6642

Properties of GCF 6634 and 6642

(i) The GCF of 6634 and 6642 is associative

GCF of 6634 and 6642 = GCF of 6642 and 6634

Related Greatest Common Factor of 6634

Related Greatest Common Factor of 6642

Frequently Asked Questions on GCF of 6634 and 6642

1. What is the GCF of 6634 and 6642?

Answer: GCF of 6634 and 6642 is 2.

2. What are the Factors of 6634?

Answer: Factors of 6634 are 1, 2, 31, 62, 107, 214, 3317, 6634. There are 8 integers that are factors of 6634. The greatest factor of 6634 is 6634.

3. What are the Factors of 6642?

Answer: Factors of 6642 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 246, 369, 738, 1107, 2214, 3321, 6642. There are 20 integers that are factors of 6642. The greatest factor of 6642 is 6642.

4. How to Find the GCF of 6634 and 6642?

Answer:

Greatest Common Factor of 6634 and 6642 = 2

Step 1: Find the prime factorization of 6634

6634 = 2 x 31 x 107

Step 2: Find the prime factorization of 6642

6642 = 2 x 3 x 3 x 3 x 3 x 41

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 6634 and 6642 is 2