What is the Greatest Common Factor of 21100 and 21116?

Greatest common factor (GCF) of 21100 and 21116 is 4.

GCF(21100,21116) = 4

We will now calculate the prime factors of 21100 and 21116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21100 and 21116.

How to find the GCF of 21100 and 21116?

We will first find the prime factorization of 21100 and 21116. After we will calculate the factors of 21100 and 21116 and find the biggest common factor number .

Step-1: Prime Factorization of 21100

Prime factors of 21100 are 2, 5, 211. Prime factorization of 21100 in exponential form is:

21100 = 2² × 5² × 211¹

Step-2: Prime Factorization of 21116

Prime factors of 21116 are 2, 5279. Prime factorization of 21116 in exponential form is:

21116 = 2² × 5279¹

Step-3: Factors of 21100

List of positive integer factors of 21100 that divides 21100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 211, 422, 844, 1055, 2110, 4220, 5275, 10550

Step-4: Factors of 21116

List of positive integer factors of 21116 that divides 21100 without a remainder.

1, 2, 4, 5279, 10558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21100 and 21116. The biggest common factor number is the GCF number.
So the greatest common factor 21100 and 21116 is 4.

Also check out the Least Common Multiple of 21100 and 21116