What is the Greatest Common Factor of 2643 and 2652?

Greatest common factor (GCF) of 2643 and 2652 is 3.

GCF(2643,2652) = 3

We will now calculate the prime factors of 2643 and 2652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2643 and 2652.

How to find the GCF of 2643 and 2652?

We will first find the prime factorization of 2643 and 2652. After we will calculate the factors of 2643 and 2652 and find the biggest common factor number .

Step-1: Prime Factorization of 2643

Prime factors of 2643 are 3, 881. Prime factorization of 2643 in exponential form is:

2643 = 3¹ × 881¹

Step-2: 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-3: Factors of 2643

List of positive integer factors of 2643 that divides 2643 without a remainder.

1, 3, 881

Step-4: Factors of 2652

List of positive integer factors of 2652 that divides 2643 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2643 and 2652. The biggest common factor number is the GCF number.
So the greatest common factor 2643 and 2652 is 3.

Also check out the Least Common Multiple of 2643 and 2652