What is the Greatest Common Factor of 23152 and 23164?

Greatest common factor (GCF) of 23152 and 23164 is 4.

GCF(23152,23164) = 4

We will now calculate the prime factors of 23152 and 23164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23152 and 23164.

How to find the GCF of 23152 and 23164?

We will first find the prime factorization of 23152 and 23164. After we will calculate the factors of 23152 and 23164 and find the biggest common factor number .

Step-1: Prime Factorization of 23152

Prime factors of 23152 are 2, 1447. Prime factorization of 23152 in exponential form is:

23152 = 2⁴ × 1447¹

Step-2: Prime Factorization of 23164

Prime factors of 23164 are 2, 5791. Prime factorization of 23164 in exponential form is:

23164 = 2² × 5791¹

Step-3: Factors of 23152

List of positive integer factors of 23152 that divides 23152 without a remainder.

1, 2, 4, 8, 16, 1447, 2894, 5788, 11576

Step-4: Factors of 23164

List of positive integer factors of 23164 that divides 23152 without a remainder.

1, 2, 4, 5791, 11582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23152 and 23164. The biggest common factor number is the GCF number.
So the greatest common factor 23152 and 23164 is 4.

Also check out the Least Common Multiple of 23152 and 23164