What is the Greatest Common Factor of 21300 and 21316?

Greatest common factor (GCF) of 21300 and 21316 is 4.

GCF(21300,21316) = 4

We will now calculate the prime factors of 21300 and 21316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21300 and 21316.

How to find the GCF of 21300 and 21316?

We will first find the prime factorization of 21300 and 21316. After we will calculate the factors of 21300 and 21316 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 21316

Prime factors of 21316 are 2, 73. Prime factorization of 21316 in exponential form is:

21316 = 2² × 73²

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 21316

List of positive integer factors of 21316 that divides 21300 without a remainder.

1, 2, 4, 73, 146, 292, 5329, 10658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21300 and 21316. The biggest common factor number is the GCF number.
So the greatest common factor 21300 and 21316 is 4.

Also check out the Least Common Multiple of 21300 and 21316