What is the Greatest Common Factor of 2672 and 2679?

Greatest common factor (GCF) of 2672 and 2679 is 1.

GCF(2672,2679) = 1

We will now calculate the prime factors of 2672 and 2679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2672 and 2679.

How to find the GCF of 2672 and 2679?

We will first find the prime factorization of 2672 and 2679. After we will calculate the factors of 2672 and 2679 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 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 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 2679

List of positive integer factors of 2679 that divides 2672 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2672 and 2679. The biggest common factor number is the GCF number.
So the greatest common factor 2672 and 2679 is 1.

Also check out the Least Common Multiple of 2672 and 2679