Greatest Common Factor of 659 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 659, 663 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 659 and 663 is 1.

GCF(659,663) = 1

GCF of 659 and 663

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

GCF of:
and

Greatest Common Factor of 659 and 663

GCF of 659 and 663 is 1

Prime Factorization of 659


659 659
1

Prime factors of 659 are 659. Prime factorization of 659 in exponential form is:

659 = 6591

Prime Factorization of 663


3 663
13 221
17 17
1

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

663 = 31×131×171

∴ So by taking common prime factors GCF of 659 and 663 is 1

Greatest Common Factor of 659 and 663 by matching factors method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

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 659 and 663. The biggest common factor number is the GCF number.
So the greatest common factor 659 and 663 is 1.

Also check out the Least Common Multiple of 659 and 663

Properties of GCF 659 and 663

(i) The GCF of 659 and 663 is associative

GCF of 659 and 663 = GCF of 663 and 659

Related Greatest Common Factor of 659

Related Greatest Common Factor of 663

Frequently Asked Questions on GCF of 659 and 663

1. What is the GCF of 659 and 663?

Answer: GCF of 659 and 663 is 1.

2. What are the Factors of 659?

Answer: Factors of 659 are 1, 659. There are 2 integers that are factors of 659. The greatest factor of 659 is 659.

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 659 and 663?

Answer:

Greatest Common Factor of 659 and 663 = 1

Step 1: Find the prime factorization of 659

659 = 659

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 = = 1

Step 4: Therefore, the greatest common factor of 659 and 663 is 1