Greatest Common Factor of 6651 and 6657

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 6651, 6657 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6651 and 6657 is 3.

GCF(6651,6657) = 3

GCF of 6651 and 6657

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

GCF of:
and

Greatest Common Factor of 6651 and 6657

GCF of 6651 and 6657 is 3

Prime Factorization of 6651


3 6651
3 2217
739 739
1

Prime factors of 6651 are 3,739. Prime factorization of 6651 in exponential form is:

6651 = 32×7391

Prime Factorization of 6657


3 6657
7 2219
317 317
1

Prime factors of 6657 are 3,7,317. Prime factorization of 6657 in exponential form is:

6657 = 31×71×3171

∴ So by taking common prime factors GCF of 6651 and 6657 is 3

Greatest Common Factor of 6651 and 6657 by matching factors method

Factors of 6651

List of positive integer factors of 6651 that divides 6651 without a remainder.

1,3,9,739,2217,6651

Factors of 6657

List of positive integer factors of 6657 that divides 6657 without a remainder.

1,3,7,21,317,951,2219,6657

Greatest Common Factor

We found the factors and prime factorization of 6651 and 6657. The biggest common factor number is the GCF number.
So the greatest common factor 6651 and 6657 is 3.

Also check out the Least Common Multiple of 6651 and 6657

Properties of GCF 6651 and 6657

(i) The GCF of 6651 and 6657 is associative

GCF of 6651 and 6657 = GCF of 6657 and 6651

Related Greatest Common Factor of 6651

Related Greatest Common Factor of 6657

Frequently Asked Questions on GCF of 6651 and 6657

1. What is the GCF of 6651 and 6657?

Answer: GCF of 6651 and 6657 is 3.

2. What are the Factors of 6651?

Answer: Factors of 6651 are 1, 3, 9, 739, 2217, 6651. There are 6 integers that are factors of 6651. The greatest factor of 6651 is 6651.

3. What are the Factors of 6657?

Answer: Factors of 6657 are 1, 3, 7, 21, 317, 951, 2219, 6657. There are 8 integers that are factors of 6657. The greatest factor of 6657 is 6657.

4. How to Find the GCF of 6651 and 6657?

Answer:

Greatest Common Factor of 6651 and 6657 = 3

Step 1: Find the prime factorization of 6651

6651 = 3 x 3 x 739

Step 2: Find the prime factorization of 6657

6657 = 3 x 7 x 317

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

GCF = 3

Step 4: Therefore, the greatest common factor of 6651 and 6657 is 3