Greatest Common Factor of 2659 and 2667

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 2659, 2667 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2659 and 2667 is 1.

GCF(2659,2667) = 1

GCF of 2659 and 2667

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

GCF of:
and

Greatest Common Factor of 2659 and 2667

GCF of 2659 and 2667 is 1

Prime Factorization of 2659


2659 2659
1

Prime factors of 2659 are 2659. Prime factorization of 2659 in exponential form is:

2659 = 26591

Prime Factorization of 2667


3 2667
7 889
127 127
1

Prime factors of 2667 are 3.Prime factorization of 2667 in exponential form is:

2667 = 31×71×1271

∴ So by taking common prime factors GCF of 2659 and 2667 is 1

Greatest Common Factor of 2659 and 2667 by matching factors method

Factors of 2659

List of positive integer factors of 2659 that divides 2659 without a remainder.

1,2659

Factors of 2667

List of positive integer factors of 2667 that divides 2667 without a remainder.

1,3,7,21,127,381,889,2667

Greatest Common Factor

We found the factors and prime factorization of 2659 and 2667. The biggest common factor number is the GCF number.
So the greatest common factor 2659 and 2667 is 1.

Also check out the Least Common Multiple of 2659 and 2667

Properties of GCF 2659 and 2667

(i) The GCF of 2659 and 2667 is associative

GCF of 2659 and 2667 = GCF of 2667 and 2659

Related Greatest Common Factor of 2659

Related Greatest Common Factor of 2667

Frequently Asked Questions on GCF of 2659 and 2667

1. What is the GCF of 2659 and 2667?

Answer: GCF of 2659 and 2667 is 1.

2. What are the Factors of 2659?

Answer: Factors of 2659 are 1, 2659. There are 2 integers that are factors of 2659. The greatest factor of 2659 is 2659.

3. What are the Factors of 2667?

Answer: Factors of 2667 are 1, 3, 7, 21, 127, 381, 889, 2667. There are 8 integers that are factors of 2667. The greatest factor of 2667 is 2667.

4. How to Find the GCF of 2659 and 2667?

Answer:

Greatest Common Factor of 2659 and 2667 = 1

Step 1: Find the prime factorization of 2659

2659 = 2659

Step 2: Find the prime factorization of 2667

2667 = 3 x 7 x 127

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 2659 and 2667 is 1