What is the Greatest Common Factor of 21567 and 21576?

Greatest common factor (GCF) of 21567 and 21576 is 3.

GCF(21567,21576) = 3

We will now calculate the prime factors of 21567 and 21576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21567 and 21576.

How to find the GCF of 21567 and 21576?

We will first find the prime factorization of 21567 and 21576. After we will calculate the factors of 21567 and 21576 and find the biggest common factor number .

Step-1: Prime Factorization of 21567

Prime factors of 21567 are 3, 7, 13, 79. Prime factorization of 21567 in exponential form is:

21567 = 3¹ × 7¹ × 13¹ × 79¹

Step-2: Prime Factorization of 21576

Prime factors of 21576 are 2, 3, 29, 31. Prime factorization of 21576 in exponential form is:

21576 = 2³ × 3¹ × 29¹ × 31¹

Step-3: Factors of 21567

List of positive integer factors of 21567 that divides 21567 without a remainder.

1, 3, 7, 13, 21, 39, 79, 91, 237, 273, 553, 1027, 1659, 3081, 7189

Step-4: Factors of 21576

List of positive integer factors of 21576 that divides 21567 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 31, 58, 62, 87, 93, 116, 124, 174, 186, 232, 248, 348, 372, 696, 744, 899, 1798, 2697, 3596, 5394, 7192, 10788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21567 and 21576. The biggest common factor number is the GCF number.
So the greatest common factor 21567 and 21576 is 3.

Also check out the Least Common Multiple of 21567 and 21576