Greatest Common Factor of 654 and 659

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 654, 659 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 654 and 659 is 1.

GCF(654,659) = 1

GCF of 654 and 659

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

GCF of:
and

Greatest Common Factor of 654 and 659

GCF of 654 and 659 is 1

Prime Factorization of 654


2 654
3 327
109 109
1

Prime factors of 654 are 2,3,109. Prime factorization of 654 in exponential form is:

654 = 21×31×1091

Prime Factorization of 659


659 659
1

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

659 = 6591

∴ So by taking common prime factors GCF of 654 and 659 is 1

Greatest Common Factor of 654 and 659 by matching factors method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 659

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

1,659

Greatest Common Factor

We found the factors and prime factorization of 654 and 659. The biggest common factor number is the GCF number.
So the greatest common factor 654 and 659 is 1.

Also check out the Least Common Multiple of 654 and 659

Properties of GCF 654 and 659

(i) The GCF of 654 and 659 is associative

GCF of 654 and 659 = GCF of 659 and 654

Related Greatest Common Factor of 654

Related Greatest Common Factor of 659

Frequently Asked Questions on GCF of 654 and 659

1. What is the GCF of 654 and 659?

Answer: GCF of 654 and 659 is 1.

2. What are the Factors of 654?

Answer: Factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654. There are 8 integers that are factors of 654. The greatest factor of 654 is 654.

3. 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.

4. How to Find the GCF of 654 and 659?

Answer:

Greatest Common Factor of 654 and 659 = 1

Step 1: Find the prime factorization of 654

654 = 2 x 3 x 109

Step 2: Find the prime factorization of 659

659 = 659

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 654 and 659 is 1