What is the Greatest Common Factor of 23556 and 23574?

Greatest common factor (GCF) of 23556 and 23574 is 6.

GCF(23556,23574) = 6

We will now calculate the prime factors of 23556 and 23574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23556 and 23574.

How to find the GCF of 23556 and 23574?

We will first find the prime factorization of 23556 and 23574. After we will calculate the factors of 23556 and 23574 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23574

Prime factors of 23574 are 2, 3, 3929. Prime factorization of 23574 in exponential form is:

23574 = 2¹ × 3¹ × 3929¹

Step-3: Factors of 23556

List of positive integer factors of 23556 that divides 23556 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

Step-4: Factors of 23574

List of positive integer factors of 23574 that divides 23556 without a remainder.

1, 2, 3, 6, 3929, 7858, 11787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23556 and 23574. The biggest common factor number is the GCF number.
So the greatest common factor 23556 and 23574 is 6.

Also check out the Least Common Multiple of 23556 and 23574