What is the Greatest Common Factor of 21100 and 21110?

Greatest common factor (GCF) of 21100 and 21110 is 10.

GCF(21100,21110) = 10

We will now calculate the prime factors of 21100 and 21110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21100 and 21110.

How to find the GCF of 21100 and 21110?

We will first find the prime factorization of 21100 and 21110. After we will calculate the factors of 21100 and 21110 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 21110

Prime factors of 21110 are 2, 5, 2111. Prime factorization of 21110 in exponential form is:

21110 = 2¹ × 5¹ × 2111¹

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 21110

List of positive integer factors of 21110 that divides 21100 without a remainder.

1, 2, 5, 10, 2111, 4222, 10555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21100 and 21110. The biggest common factor number is the GCF number.
So the greatest common factor 21100 and 21110 is 10.

Also check out the Least Common Multiple of 21100 and 21110