What is the Greatest Common Factor of 21080 and 21100?

Greatest common factor (GCF) of 21080 and 21100 is 20.

GCF(21080,21100) = 20

We will now calculate the prime factors of 21080 and 21100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21080 and 21100.

How to find the GCF of 21080 and 21100?

We will first find the prime factorization of 21080 and 21100. After we will calculate the factors of 21080 and 21100 and find the biggest common factor number .

Step-1: Prime Factorization of 21080

Prime factors of 21080 are 2, 5, 17, 31. Prime factorization of 21080 in exponential form is:

21080 = 2³ × 5¹ × 17¹ × 31¹

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 21080

List of positive integer factors of 21080 that divides 21080 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 31, 34, 40, 62, 68, 85, 124, 136, 155, 170, 248, 310, 340, 527, 620, 680, 1054, 1240, 2108, 2635, 4216, 5270, 10540

Step-4: Factors of 21100

List of positive integer factors of 21100 that divides 21080 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 21080 and 21100. The biggest common factor number is the GCF number.
So the greatest common factor 21080 and 21100 is 20.

Also check out the Least Common Multiple of 21080 and 21100