What is the Greatest Common Factor of 21096 and 21100?

Greatest common factor (GCF) of 21096 and 21100 is 4.

GCF(21096,21100) = 4

We will now calculate the prime factors of 21096 and 21100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21096 and 21100.

How to find the GCF of 21096 and 21100?

We will first find the prime factorization of 21096 and 21100. After we will calculate the factors of 21096 and 21100 and find the biggest common factor number .

Step-1: Prime Factorization of 21096

Prime factors of 21096 are 2, 3, 293. Prime factorization of 21096 in exponential form is:

21096 = 2³ × 3² × 293¹

Step-2: 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-3: Factors of 21096

List of positive integer factors of 21096 that divides 21096 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 293, 586, 879, 1172, 1758, 2344, 2637, 3516, 5274, 7032, 10548

Step-4: Factors of 21100

List of positive integer factors of 21100 that divides 21096 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21096 and 21100. The biggest common factor number is the GCF number.
So the greatest common factor 21096 and 21100 is 4.

Also check out the Least Common Multiple of 21096 and 21100