Greatest Common Factor of 657 and 663

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 657, 663 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 657 and 663 is 3.

GCF(657,663) = 3

GCF of 657 and 663

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

GCF of:
and

Greatest Common Factor of 657 and 663

GCF of 657 and 663 is 3

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

Prime Factorization of 663


3 663
13 221
17 17
1

Prime factors of 663 are 3,13,17. Prime factorization of 663 in exponential form is:

663 = 31×131×171

∴ So by taking common prime factors GCF of 657 and 663 is 3

Greatest Common Factor of 657 and 663 by matching factors method

Factors of 657

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

1,3,9,73,219,657

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors and prime factorization of 657 and 663. The biggest common factor number is the GCF number.
So the greatest common factor 657 and 663 is 3.

Also check out the Least Common Multiple of 657 and 663

Properties of GCF 657 and 663

(i) The GCF of 657 and 663 is associative

GCF of 657 and 663 = GCF of 663 and 657

Related Greatest Common Factor of 657

Related Greatest Common Factor of 663

Frequently Asked Questions on GCF of 657 and 663

1. What is the GCF of 657 and 663?

Answer: GCF of 657 and 663 is 3.

2. 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.

3. What are the Factors of 663?

Answer: Factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663. There are 8 integers that are factors of 663. The greatest factor of 663 is 663.

4. How to Find the GCF of 657 and 663?

Answer:

Greatest Common Factor of 657 and 663 = 3

Step 1: Find the prime factorization of 657

657 = 3 x 3 x 73

Step 2: Find the prime factorization of 663

663 = 3 x 13 x 17

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 657 and 663 is 3