What is the Greatest Common Factor of 21140 and 21160?

Greatest common factor (GCF) of 21140 and 21160 is 20.

GCF(21140,21160) = 20

We will now calculate the prime factors of 21140 and 21160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21140 and 21160.

How to find the GCF of 21140 and 21160?

We will first find the prime factorization of 21140 and 21160. After we will calculate the factors of 21140 and 21160 and find the biggest common factor number .

Step-1: Prime Factorization of 21140

Prime factors of 21140 are 2, 5, 7, 151. Prime factorization of 21140 in exponential form is:

21140 = 2² × 5¹ × 7¹ × 151¹

Step-2: Prime Factorization of 21160

Prime factors of 21160 are 2, 5, 23. Prime factorization of 21160 in exponential form is:

21160 = 2³ × 5¹ × 23²

Step-3: Factors of 21140

List of positive integer factors of 21140 that divides 21140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 151, 302, 604, 755, 1057, 1510, 2114, 3020, 4228, 5285, 10570

Step-4: Factors of 21160

List of positive integer factors of 21160 that divides 21140 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 529, 920, 1058, 2116, 2645, 4232, 5290, 10580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21140 and 21160. The biggest common factor number is the GCF number.
So the greatest common factor 21140 and 21160 is 20.

Also check out the Least Common Multiple of 21140 and 21160