Greatest Common Factor of 6642 and 6650

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 6642, 6650 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6642 and 6650 is 2.

GCF(6642,6650) = 2

GCF of 6642 and 6650

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

GCF of:
and

Greatest Common Factor of 6642 and 6650

GCF of 6642 and 6650 is 2

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

Prime Factorization of 6650


2 6650
5 3325
5 665
7 133
19 19
1

Prime factors of 6650 are 2,5,7,19. Prime factorization of 6650 in exponential form is:

6650 = 21×52×71×191

∴ So by taking common prime factors GCF of 6642 and 6650 is 2

Greatest Common Factor of 6642 and 6650 by matching factors method

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

Factors of 6650

List of positive integer factors of 6650 that divides 6650 without a remainder.

1,2,5,7,10,14,19,25,35,38,50,70,95,133,175,190,266,350,475,665,950,1330,3325,6650

Greatest Common Factor

We found the factors and prime factorization of 6642 and 6650. The biggest common factor number is the GCF number.
So the greatest common factor 6642 and 6650 is 2.

Also check out the Least Common Multiple of 6642 and 6650

Properties of GCF 6642 and 6650

(i) The GCF of 6642 and 6650 is associative

GCF of 6642 and 6650 = GCF of 6650 and 6642

Related Greatest Common Factor of 6642

Related Greatest Common Factor of 6650

Frequently Asked Questions on GCF of 6642 and 6650

1. What is the GCF of 6642 and 6650?

Answer: GCF of 6642 and 6650 is 2.

2. 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.

3. What are the Factors of 6650?

Answer: Factors of 6650 are 1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 133, 175, 190, 266, 350, 475, 665, 950, 1330, 3325, 6650. There are 24 integers that are factors of 6650. The greatest factor of 6650 is 6650.

4. How to Find the GCF of 6642 and 6650?

Answer:

Greatest Common Factor of 6642 and 6650 = 2

Step 1: Find the prime factorization of 6642

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

Step 2: Find the prime factorization of 6650

6650 = 2 x 5 x 5 x 7 x 19

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 6642 and 6650 is 2