What is the Greatest Common Factor of 21312 and 21316?

Greatest common factor (GCF) of 21312 and 21316 is 4.

GCF(21312,21316) = 4

We will now calculate the prime factors of 21312 and 21316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21312 and 21316.

How to find the GCF of 21312 and 21316?

We will first find the prime factorization of 21312 and 21316. After we will calculate the factors of 21312 and 21316 and find the biggest common factor number .

Step-1: Prime Factorization of 21312

Prime factors of 21312 are 2, 3, 37. Prime factorization of 21312 in exponential form is:

21312 = 2⁶ × 3² × 37¹

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 21312

List of positive integer factors of 21312 that divides 21312 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 37, 48, 64, 72, 74, 96, 111, 144, 148, 192, 222, 288, 296, 333, 444, 576, 592, 666, 888, 1184, 1332, 1776, 2368, 2664, 3552, 5328, 7104, 10656

Step-4: Factors of 21316

List of positive integer factors of 21316 that divides 21312 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 21312 and 21316. The biggest common factor number is the GCF number.
So the greatest common factor 21312 and 21316 is 4.

Also check out the Least Common Multiple of 21312 and 21316