What is the Greatest Common Factor of 21900 and 21916?

Greatest common factor (GCF) of 21900 and 21916 is 4.

GCF(21900,21916) = 4

We will now calculate the prime factors of 21900 and 21916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21900 and 21916.

How to find the GCF of 21900 and 21916?

We will first find the prime factorization of 21900 and 21916. After we will calculate the factors of 21900 and 21916 and find the biggest common factor number .

Step-1: Prime Factorization of 21900

Prime factors of 21900 are 2, 3, 5, 73. Prime factorization of 21900 in exponential form is:

21900 = 2² × 3¹ × 5² × 73¹

Step-2: Prime Factorization of 21916

Prime factors of 21916 are 2, 5479. Prime factorization of 21916 in exponential form is:

21916 = 2² × 5479¹

Step-3: Factors of 21900

List of positive integer factors of 21900 that divides 21900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 73, 75, 100, 146, 150, 219, 292, 300, 365, 438, 730, 876, 1095, 1460, 1825, 2190, 3650, 4380, 5475, 7300, 10950

Step-4: Factors of 21916

List of positive integer factors of 21916 that divides 21900 without a remainder.

1, 2, 4, 5479, 10958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21900 and 21916. The biggest common factor number is the GCF number.
So the greatest common factor 21900 and 21916 is 4.

Also check out the Least Common Multiple of 21900 and 21916