What is the Greatest Common Factor of 21300 and 21317?

Greatest common factor (GCF) of 21300 and 21317 is 1.

GCF(21300,21317) = 1

We will now calculate the prime factors of 21300 and 21317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21300 and 21317.

How to find the GCF of 21300 and 21317?

We will first find the prime factorization of 21300 and 21317. After we will calculate the factors of 21300 and 21317 and find the biggest common factor number .

Step-1: Prime Factorization of 21300

Prime factors of 21300 are 2, 3, 5, 71. Prime factorization of 21300 in exponential form is:

21300 = 2² × 3¹ × 5² × 71¹

Step-2: Prime Factorization of 21317

Prime factors of 21317 are 21317. Prime factorization of 21317 in exponential form is:

21317 = 21317¹

Step-3: Factors of 21300

List of positive integer factors of 21300 that divides 21300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 71, 75, 100, 142, 150, 213, 284, 300, 355, 426, 710, 852, 1065, 1420, 1775, 2130, 3550, 4260, 5325, 7100, 10650

Step-4: Factors of 21317

List of positive integer factors of 21317 that divides 21300 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21300 and 21317. The biggest common factor number is the GCF number.
So the greatest common factor 21300 and 21317 is 1.

Also check out the Least Common Multiple of 21300 and 21317