What is the Greatest Common Factor of 23900 and 23916?

Greatest common factor (GCF) of 23900 and 23916 is 4.

GCF(23900,23916) = 4

We will now calculate the prime factors of 23900 and 23916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23900 and 23916.

How to find the GCF of 23900 and 23916?

We will first find the prime factorization of 23900 and 23916. After we will calculate the factors of 23900 and 23916 and find the biggest common factor number .

Step-1: Prime Factorization of 23900

Prime factors of 23900 are 2, 5, 239. Prime factorization of 23900 in exponential form is:

23900 = 2² × 5² × 239¹

Step-2: Prime Factorization of 23916

Prime factors of 23916 are 2, 3, 1993. Prime factorization of 23916 in exponential form is:

23916 = 2² × 3¹ × 1993¹

Step-3: Factors of 23900

List of positive integer factors of 23900 that divides 23900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 239, 478, 956, 1195, 2390, 4780, 5975, 11950

Step-4: Factors of 23916

List of positive integer factors of 23916 that divides 23900 without a remainder.

1, 2, 3, 4, 6, 12, 1993, 3986, 5979, 7972, 11958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23900 and 23916. The biggest common factor number is the GCF number.
So the greatest common factor 23900 and 23916 is 4.

Also check out the Least Common Multiple of 23900 and 23916