Greatest Common Factor of 651 and 657

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 651, 657 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 651 and 657 is 3.

GCF(651,657) = 3

GCF of 651 and 657

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

GCF of:
and

Greatest Common Factor of 651 and 657

GCF of 651 and 657 is 3

Prime Factorization of 651


3 651
7 217
31 31
1

Prime factors of 651 are 3,7,31. Prime factorization of 651 in exponential form is:

651 = 31×71×311

Prime Factorization of 657


3 657
3 219
73 73
1

Prime factors of 657 are 3,73. Prime factorization of 657 in exponential form is:

657 = 32×731

∴ So by taking common prime factors GCF of 651 and 657 is 3

Greatest Common Factor of 651 and 657 by matching factors method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors and prime factorization of 651 and 657. The biggest common factor number is the GCF number.
So the greatest common factor 651 and 657 is 3.

Also check out the Least Common Multiple of 651 and 657

Properties of GCF 651 and 657

(i) The GCF of 651 and 657 is associative

GCF of 651 and 657 = GCF of 657 and 651

Related Greatest Common Factor of 651

Related Greatest Common Factor of 657

Frequently Asked Questions on GCF of 651 and 657

1. What is the GCF of 651 and 657?

Answer: GCF of 651 and 657 is 3.

2. What are the Factors of 651?

Answer: Factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651. There are 8 integers that are factors of 651. The greatest factor of 651 is 651.

3. What are the Factors of 657?

Answer: Factors of 657 are 1, 3, 9, 73, 219, 657. There are 6 integers that are factors of 657. The greatest factor of 657 is 657.

4. How to Find the GCF of 651 and 657?

Answer:

Greatest Common Factor of 651 and 657 = 3

Step 1: Find the prime factorization of 651

651 = 3 x 7 x 31

Step 2: Find the prime factorization of 657

657 = 3 x 3 x 73

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 651 and 657 is 3