What is the Greatest Common Factor of 2652 and 2667?

Greatest common factor (GCF) of 2652 and 2667 is 3.

GCF(2652,2667) = 3

We will now calculate the prime factors of 2652 and 2667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2652 and 2667.

How to find the GCF of 2652 and 2667?

We will first find the prime factorization of 2652 and 2667. After we will calculate the factors of 2652 and 2667 and find the biggest common factor number .

Step-1: Prime Factorization of 2652

Prime factors of 2652 are 2, 3, 13, 17. Prime factorization of 2652 in exponential form is:

2652 = 2² × 3¹ × 13¹ × 17¹

Step-2: Prime Factorization of 2667

Prime factors of 2667 are 3, 7, 127. Prime factorization of 2667 in exponential form is:

2667 = 3¹ × 7¹ × 127¹

Step-3: Factors of 2652

List of positive integer factors of 2652 that divides 2652 without a remainder.

1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326

Step-4: Factors of 2667

List of positive integer factors of 2667 that divides 2652 without a remainder.

1, 3, 7, 21, 127, 381, 889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2652 and 2667. The biggest common factor number is the GCF number.
So the greatest common factor 2652 and 2667 is 3.

Also check out the Least Common Multiple of 2652 and 2667