What is the Greatest Common Factor of 21264 and 21271?

Greatest common factor (GCF) of 21264 and 21271 is 1.

GCF(21264,21271) = 1

We will now calculate the prime factors of 21264 and 21271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21264 and 21271.

How to find the GCF of 21264 and 21271?

We will first find the prime factorization of 21264 and 21271. After we will calculate the factors of 21264 and 21271 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 21271

Prime factors of 21271 are 89, 239. Prime factorization of 21271 in exponential form is:

21271 = 89¹ × 239¹

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 21271

List of positive integer factors of 21271 that divides 21264 without a remainder.

1, 89, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21264 and 21271. The biggest common factor number is the GCF number.
So the greatest common factor 21264 and 21271 is 1.

Also check out the Least Common Multiple of 21264 and 21271