What is the Greatest Common Factor of 33141 and 33147?

Greatest common factor (GCF) of 33141 and 33147 is 3.

GCF(33141,33147) = 3

We will now calculate the prime factors of 33141 and 33147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33141 and 33147.

How to find the GCF of 33141 and 33147?

We will first find the prime factorization of 33141 and 33147. After we will calculate the factors of 33141 and 33147 and find the biggest common factor number .

Step-1: Prime Factorization of 33141

Prime factors of 33141 are 3, 11047. Prime factorization of 33141 in exponential form is:

33141 = 3¹ × 11047¹

Step-2: Prime Factorization of 33147

Prime factors of 33147 are 3, 29, 127. Prime factorization of 33147 in exponential form is:

33147 = 3² × 29¹ × 127¹

Step-3: Factors of 33141

List of positive integer factors of 33141 that divides 33141 without a remainder.

1, 3, 11047

Step-4: Factors of 33147

List of positive integer factors of 33147 that divides 33141 without a remainder.

1, 3, 9, 29, 87, 127, 261, 381, 1143, 3683, 11049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33141 and 33147. The biggest common factor number is the GCF number.
So the greatest common factor 33141 and 33147 is 3.

Also check out the Least Common Multiple of 33141 and 33147