What is the Greatest Common Factor of 21100 and 21107?

Greatest common factor (GCF) of 21100 and 21107 is 1.

GCF(21100,21107) = 1

We will now calculate the prime factors of 21100 and 21107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21100 and 21107.

How to find the GCF of 21100 and 21107?

We will first find the prime factorization of 21100 and 21107. After we will calculate the factors of 21100 and 21107 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 21107

Prime factors of 21107 are 21107. Prime factorization of 21107 in exponential form is:

21107 = 21107¹

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 21107

List of positive integer factors of 21107 that divides 21100 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21100 and 21107. The biggest common factor number is the GCF number.
So the greatest common factor 21100 and 21107 is 1.

Also check out the Least Common Multiple of 21100 and 21107