What is the Greatest Common Factor of 2664 and 2672?

Greatest common factor (GCF) of 2664 and 2672 is 8.

GCF(2664,2672) = 8

We will now calculate the prime factors of 2664 and 2672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2664 and 2672.

How to find the GCF of 2664 and 2672?

We will first find the prime factorization of 2664 and 2672. After we will calculate the factors of 2664 and 2672 and find the biggest common factor number .

Step-1: Prime Factorization of 2664

Prime factors of 2664 are 2, 3, 37. Prime factorization of 2664 in exponential form is:

2664 = 2³ × 3² × 37¹

Step-2: Prime Factorization of 2672

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

2672 = 2⁴ × 167¹

Step-3: Factors of 2664

List of positive integer factors of 2664 that divides 2664 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332

Step-4: Factors of 2672

List of positive integer factors of 2672 that divides 2664 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2664 and 2672. The biggest common factor number is the GCF number.
So the greatest common factor 2664 and 2672 is 8.

Also check out the Least Common Multiple of 2664 and 2672