What is the Greatest Common Factor of 23812 and 23828?

Greatest common factor (GCF) of 23812 and 23828 is 4.

GCF(23812,23828) = 4

We will now calculate the prime factors of 23812 and 23828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23812 and 23828.

How to find the GCF of 23812 and 23828?

We will first find the prime factorization of 23812 and 23828. After we will calculate the factors of 23812 and 23828 and find the biggest common factor number .

Step-1: Prime Factorization of 23812

Prime factors of 23812 are 2, 5953. Prime factorization of 23812 in exponential form is:

23812 = 2² × 5953¹

Step-2: Prime Factorization of 23828

Prime factors of 23828 are 2, 7, 23, 37. Prime factorization of 23828 in exponential form is:

23828 = 2² × 7¹ × 23¹ × 37¹

Step-3: Factors of 23812

List of positive integer factors of 23812 that divides 23812 without a remainder.

1, 2, 4, 5953, 11906

Step-4: Factors of 23828

List of positive integer factors of 23828 that divides 23812 without a remainder.

1, 2, 4, 7, 14, 23, 28, 37, 46, 74, 92, 148, 161, 259, 322, 518, 644, 851, 1036, 1702, 3404, 5957, 11914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23812 and 23828. The biggest common factor number is the GCF number.
So the greatest common factor 23812 and 23828 is 4.

Also check out the Least Common Multiple of 23812 and 23828