What is the Greatest Common Factor of 2660 and 2675?

Greatest common factor (GCF) of 2660 and 2675 is 5.

GCF(2660,2675) = 5

We will now calculate the prime factors of 2660 and 2675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2660 and 2675.

How to find the GCF of 2660 and 2675?

We will first find the prime factorization of 2660 and 2675. After we will calculate the factors of 2660 and 2675 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 2675

Prime factors of 2675 are 5, 107. Prime factorization of 2675 in exponential form is:

2675 = 5² × 107¹

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 2675

List of positive integer factors of 2675 that divides 2660 without a remainder.

1, 5, 25, 107, 535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2660 and 2675. The biggest common factor number is the GCF number.
So the greatest common factor 2660 and 2675 is 5.

Also check out the Least Common Multiple of 2660 and 2675