What is the Greatest Common Factor of 2660 and 2667?

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

GCF(2660,2667) = 7

We will now calculate the prime factors of 2660 and 2667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2660 and 2667.

How to find the GCF of 2660 and 2667?

We will first find the prime factorization of 2660 and 2667. After we will calculate the factors of 2660 and 2667 and find the biggest common factor number .

Step-1: Prime Factorization of 2660

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

2660 = 2² × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 2667

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

2667 = 3¹ × 7¹ × 127¹

Step-3: 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

Step-4: Factors of 2667

List of positive integer factors of 2667 that divides 2660 without a remainder.

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

Final Step: Biggest Common Factor Number

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