What is the Greatest Common Factor of 2652 and 2656?

Greatest common factor (GCF) of 2652 and 2656 is 4.

GCF(2652,2656) = 4

We will now calculate the prime factors of 2652 and 2656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2652 and 2656.

How to find the GCF of 2652 and 2656?

We will first find the prime factorization of 2652 and 2656. After we will calculate the factors of 2652 and 2656 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 2656

Prime factors of 2656 are 2, 83. Prime factorization of 2656 in exponential form is:

2656 = 2⁵ × 83¹

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 2656

List of positive integer factors of 2656 that divides 2652 without a remainder.

1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2652 and 2656. The biggest common factor number is the GCF number.
So the greatest common factor 2652 and 2656 is 4.

Also check out the Least Common Multiple of 2652 and 2656