What is the Greatest Common Factor of 2672 and 2680?

Greatest common factor (GCF) of 2672 and 2680 is 8.

GCF(2672,2680) = 8

We will now calculate the prime factors of 2672 and 2680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2672 and 2680.

How to find the GCF of 2672 and 2680?

We will first find the prime factorization of 2672 and 2680. After we will calculate the factors of 2672 and 2680 and find the biggest common factor number .

Step-1: Prime Factorization of 2672

Prime factors of 2672 are 2, 167. Prime factorization of 2672 in exponential form is:

2672 = 2⁴ × 167¹

Step-2: Prime Factorization of 2680

Prime factors of 2680 are 2, 5, 67. Prime factorization of 2680 in exponential form is:

2680 = 2³ × 5¹ × 67¹

Step-3: Factors of 2672

List of positive integer factors of 2672 that divides 2672 without a remainder.

1, 2, 4, 8, 16, 167, 334, 668, 1336

Step-4: Factors of 2680

List of positive integer factors of 2680 that divides 2672 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 67, 134, 268, 335, 536, 670, 1340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2672 and 2680. The biggest common factor number is the GCF number.
So the greatest common factor 2672 and 2680 is 8.

Also check out the Least Common Multiple of 2672 and 2680