What is the Greatest Common Factor of 2660 and 2679?

Greatest common factor (GCF) of 2660 and 2679 is 19.

GCF(2660,2679) = 19

We will now calculate the prime factors of 2660 and 2679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2660 and 2679.

How to find the GCF of 2660 and 2679?

We will first find the prime factorization of 2660 and 2679. After we will calculate the factors of 2660 and 2679 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 2679

Prime factors of 2679 are 3, 19, 47. Prime factorization of 2679 in exponential form is:

2679 = 3¹ × 19¹ × 47¹

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 2679

List of positive integer factors of 2679 that divides 2660 without a remainder.

1, 3, 19, 47, 57, 141, 893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2660 and 2679. The biggest common factor number is the GCF number.
So the greatest common factor 2660 and 2679 is 19.

Also check out the Least Common Multiple of 2660 and 2679