What is the Greatest Common Factor of 23828 and 23836?

Greatest common factor (GCF) of 23828 and 23836 is 4.

GCF(23828,23836) = 4

We will now calculate the prime factors of 23828 and 23836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23828 and 23836.

How to find the GCF of 23828 and 23836?

We will first find the prime factorization of 23828 and 23836. After we will calculate the factors of 23828 and 23836 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23836

Prime factors of 23836 are 2, 59, 101. Prime factorization of 23836 in exponential form is:

23836 = 2² × 59¹ × 101¹

Step-3: Factors of 23828

List of positive integer factors of 23828 that divides 23828 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

Step-4: Factors of 23836

List of positive integer factors of 23836 that divides 23828 without a remainder.

1, 2, 4, 59, 101, 118, 202, 236, 404, 5959, 11918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23828 and 23836. The biggest common factor number is the GCF number.
So the greatest common factor 23828 and 23836 is 4.

Also check out the Least Common Multiple of 23828 and 23836