What is the Greatest Common Factor of 21264 and 21272?

Greatest common factor (GCF) of 21264 and 21272 is 8.

GCF(21264,21272) = 8

We will now calculate the prime factors of 21264 and 21272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21264 and 21272.

How to find the GCF of 21264 and 21272?

We will first find the prime factorization of 21264 and 21272. After we will calculate the factors of 21264 and 21272 and find the biggest common factor number .

Step-1: Prime Factorization of 21264

Prime factors of 21264 are 2, 3, 443. Prime factorization of 21264 in exponential form is:

21264 = 2⁴ × 3¹ × 443¹

Step-2: Prime Factorization of 21272

Prime factors of 21272 are 2, 2659. Prime factorization of 21272 in exponential form is:

21272 = 2³ × 2659¹

Step-3: Factors of 21264

List of positive integer factors of 21264 that divides 21264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 443, 886, 1329, 1772, 2658, 3544, 5316, 7088, 10632

Step-4: Factors of 21272

List of positive integer factors of 21272 that divides 21264 without a remainder.

1, 2, 4, 8, 2659, 5318, 10636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21264 and 21272. The biggest common factor number is the GCF number.
So the greatest common factor 21264 and 21272 is 8.

Also check out the Least Common Multiple of 21264 and 21272