Greatest Common Factor of 6642 and 6648

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, 6648 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6642 and 6648 is 6.

GCF(6642,6648) = 6

GCF of 6642 and 6648

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

GCF of:
and

Greatest Common Factor of 6642 and 6648

GCF of 6642 and 6648 is 6

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 6648


2 6648
2 3324
2 1662
3 831
277 277
1

Prime factors of 6648 are 2,3,277. Prime factorization of 6648 in exponential form is:

6648 = 23×31×2771

∴ So by taking common prime factors GCF of 6642 and 6648 is 6

Greatest Common Factor of 6642 and 6648 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 6648

List of positive integer factors of 6648 that divides 6648 without a remainder.

1,2,3,4,6,8,12,24,277,554,831,1108,1662,2216,3324,6648

Greatest Common Factor

We found the factors and prime factorization of 6642 and 6648. The biggest common factor number is the GCF number.
So the greatest common factor 6642 and 6648 is 6.

Also check out the Least Common Multiple of 6642 and 6648

Properties of GCF 6642 and 6648

(i) The GCF of 6642 and 6648 is associative

GCF of 6642 and 6648 = GCF of 6648 and 6642

Related Greatest Common Factor of 6642

Related Greatest Common Factor of 6648

Frequently Asked Questions on GCF of 6642 and 6648

1. What is the GCF of 6642 and 6648?

Answer: GCF of 6642 and 6648 is 6.

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 6648?

Answer: Factors of 6648 are 1, 2, 3, 4, 6, 8, 12, 24, 277, 554, 831, 1108, 1662, 2216, 3324, 6648. There are 16 integers that are factors of 6648. The greatest factor of 6648 is 6648.

4. How to Find the GCF of 6642 and 6648?

Answer:

Greatest Common Factor of 6642 and 6648 = 6

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 6648

6648 = 2 x 2 x 2 x 3 x 277

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6642 and 6648 is 6