What is the Greatest Common Factor of 21132 and 21141?

Greatest common factor (GCF) of 21132 and 21141 is 9.

GCF(21132,21141) = 9

We will now calculate the prime factors of 21132 and 21141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21132 and 21141.

How to find the GCF of 21132 and 21141?

We will first find the prime factorization of 21132 and 21141. After we will calculate the factors of 21132 and 21141 and find the biggest common factor number .

Step-1: Prime Factorization of 21132

Prime factors of 21132 are 2, 3, 587. Prime factorization of 21132 in exponential form is:

21132 = 2² × 3² × 587¹

Step-2: Prime Factorization of 21141

Prime factors of 21141 are 3, 29. Prime factorization of 21141 in exponential form is:

21141 = 3⁶ × 29¹

Step-3: Factors of 21132

List of positive integer factors of 21132 that divides 21132 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 587, 1174, 1761, 2348, 3522, 5283, 7044, 10566

Step-4: Factors of 21141

List of positive integer factors of 21141 that divides 21132 without a remainder.

1, 3, 9, 27, 29, 81, 87, 243, 261, 729, 783, 2349, 7047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21132 and 21141. The biggest common factor number is the GCF number.
So the greatest common factor 21132 and 21141 is 9.

Also check out the Least Common Multiple of 21132 and 21141