What is the Greatest Common Factor of 2652 and 2665?

Greatest common factor (GCF) of 2652 and 2665 is 13.

GCF(2652,2665) = 13

We will now calculate the prime factors of 2652 and 2665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2652 and 2665.

How to find the GCF of 2652 and 2665?

We will first find the prime factorization of 2652 and 2665. After we will calculate the factors of 2652 and 2665 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 2665

Prime factors of 2665 are 5, 13, 41. Prime factorization of 2665 in exponential form is:

2665 = 5¹ × 13¹ × 41¹

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 2665

List of positive integer factors of 2665 that divides 2652 without a remainder.

1, 5, 13, 41, 65, 205, 533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2652 and 2665. The biggest common factor number is the GCF number.
So the greatest common factor 2652 and 2665 is 13.

Also check out the Least Common Multiple of 2652 and 2665