Greatest Common Factor of 2660 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 2660, 2667 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2660 and 2667 is 7.

GCF(2660,2667) = 7

GCF of 2660 and 2667

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

GCF of:
and

Greatest Common Factor of 2660 and 2667

GCF of 2660 and 2667 is 7

Prime Factorization of 2660


2 2660
2 1330
5 665
7 133
19 19
1

Prime factors of 2660 are 2,5,7,19. Prime factorization of 2660 in exponential form is:

2660 = 22×51×71×191

Prime Factorization of 2667


3 2667
7 889
127 127
1

Prime factors of 2667 are 3,7,127. Prime factorization of 2667 in exponential form is:

2667 = 31×71×1271

∴ So by taking common prime factors GCF of 2660 and 2667 is 7

Greatest Common Factor of 2660 and 2667 by matching factors method

Factors of 2660

List of positive integer factors of 2660 that divides 2660 without a remainder.

1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660

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 2660 and 2667. The biggest common factor number is the GCF number.
So the greatest common factor 2660 and 2667 is 7.

Also check out the Least Common Multiple of 2660 and 2667

Properties of GCF 2660 and 2667

(i) The GCF of 2660 and 2667 is associative

GCF of 2660 and 2667 = GCF of 2667 and 2660

Related Greatest Common Factor of 2660

Related Greatest Common Factor of 2667

Frequently Asked Questions on GCF of 2660 and 2667

1. What is the GCF of 2660 and 2667?

Answer: GCF of 2660 and 2667 is 7.

2. What are the Factors of 2660?

Answer: Factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660. There are 24 integers that are factors of 2660. The greatest factor of 2660 is 2660.

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 2660 and 2667?

Answer:

Greatest Common Factor of 2660 and 2667 = 7

Step 1: Find the prime factorization of 2660

2660 = 2 x 2 x 5 x 7 x 19

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 = 7

Step 4: Therefore, the greatest common factor of 2660 and 2667 is 7