What is the Greatest Common Factor of 12141 and 12147?

Greatest common factor (GCF) of 12141 and 12147 is 3.

GCF(12141,12147) = 3

We will now calculate the prime factors of 12141 and 12147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12141 and 12147.

How to find the GCF of 12141 and 12147?

We will first find the prime factorization of 12141 and 12147. After we will calculate the factors of 12141 and 12147 and find the biggest common factor number .

Step-1: Prime Factorization of 12141

Prime factors of 12141 are 3, 19, 71. Prime factorization of 12141 in exponential form is:

12141 = 3² × 19¹ × 71¹

Step-2: Prime Factorization of 12147

Prime factors of 12147 are 3, 4049. Prime factorization of 12147 in exponential form is:

12147 = 3¹ × 4049¹

Step-3: Factors of 12141

List of positive integer factors of 12141 that divides 12141 without a remainder.

1, 3, 9, 19, 57, 71, 171, 213, 639, 1349, 4047

Step-4: Factors of 12147

List of positive integer factors of 12147 that divides 12141 without a remainder.

1, 3, 4049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12141 and 12147. The biggest common factor number is the GCF number.
So the greatest common factor 12141 and 12147 is 3.

Also check out the Least Common Multiple of 12141 and 12147