What is the Greatest Common Factor of 23541 and 23556?

Greatest common factor (GCF) of 23541 and 23556 is 3.

GCF(23541,23556) = 3

We will now calculate the prime factors of 23541 and 23556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23541 and 23556.

How to find the GCF of 23541 and 23556?

We will first find the prime factorization of 23541 and 23556. After we will calculate the factors of 23541 and 23556 and find the biggest common factor number .

Step-1: Prime Factorization of 23541

Prime factors of 23541 are 3, 7, 19, 59. Prime factorization of 23541 in exponential form is:

23541 = 3¹ × 7¹ × 19¹ × 59¹

Step-2: Prime Factorization of 23556

Prime factors of 23556 are 2, 3, 13, 151. Prime factorization of 23556 in exponential form is:

23556 = 2² × 3¹ × 13¹ × 151¹

Step-3: Factors of 23541

List of positive integer factors of 23541 that divides 23541 without a remainder.

1, 3, 7, 19, 21, 57, 59, 133, 177, 399, 413, 1121, 1239, 3363, 7847

Step-4: Factors of 23556

List of positive integer factors of 23556 that divides 23541 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 151, 156, 302, 453, 604, 906, 1812, 1963, 3926, 5889, 7852, 11778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23541 and 23556. The biggest common factor number is the GCF number.
So the greatest common factor 23541 and 23556 is 3.

Also check out the Least Common Multiple of 23541 and 23556