What is the Greatest Common Factor of 2652 and 2657?

Greatest common factor (GCF) of 2652 and 2657 is 1.

GCF(2652,2657) = 1

We will now calculate the prime factors of 2652 and 2657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2652 and 2657.

How to find the GCF of 2652 and 2657?

We will first find the prime factorization of 2652 and 2657. After we will calculate the factors of 2652 and 2657 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 2657

Prime factors of 2657 are 2657. Prime factorization of 2657 in exponential form is:

2657 = 2657¹

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 2657

List of positive integer factors of 2657 that divides 2652 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2652 and 2657. The biggest common factor number is the GCF number.
So the greatest common factor 2652 and 2657 is 1.

Also check out the Least Common Multiple of 2652 and 2657