What is the Greatest Common Factor of 21160 and 21180?

Greatest common factor (GCF) of 21160 and 21180 is 20.

GCF(21160,21180) = 20

We will now calculate the prime factors of 21160 and 21180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21160 and 21180.

How to find the GCF of 21160 and 21180?

We will first find the prime factorization of 21160 and 21180. After we will calculate the factors of 21160 and 21180 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21180

Prime factors of 21180 are 2, 3, 5, 353. Prime factorization of 21180 in exponential form is:

21180 = 2² × 3¹ × 5¹ × 353¹

Step-3: Factors of 21160

List of positive integer factors of 21160 that divides 21160 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

Step-4: Factors of 21180

List of positive integer factors of 21180 that divides 21160 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 353, 706, 1059, 1412, 1765, 2118, 3530, 4236, 5295, 7060, 10590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21160 and 21180. The biggest common factor number is the GCF number.
So the greatest common factor 21160 and 21180 is 20.

Also check out the Least Common Multiple of 21160 and 21180