What is the Greatest Common Factor of 39135 and 39141?

Greatest common factor (GCF) of 39135 and 39141 is 3.

GCF(39135,39141) = 3

We will now calculate the prime factors of 39135 and 39141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39135 and 39141.

How to find the GCF of 39135 and 39141?

We will first find the prime factorization of 39135 and 39141. After we will calculate the factors of 39135 and 39141 and find the biggest common factor number .

Step-1: Prime Factorization of 39135

Prime factors of 39135 are 3, 5, 2609. Prime factorization of 39135 in exponential form is:

39135 = 3¹ × 5¹ × 2609¹

Step-2: Prime Factorization of 39141

Prime factors of 39141 are 3, 4349. Prime factorization of 39141 in exponential form is:

39141 = 3² × 4349¹

Step-3: Factors of 39135

List of positive integer factors of 39135 that divides 39135 without a remainder.

1, 3, 5, 15, 2609, 7827, 13045

Step-4: Factors of 39141

List of positive integer factors of 39141 that divides 39135 without a remainder.

1, 3, 9, 4349, 13047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39135 and 39141. The biggest common factor number is the GCF number.
So the greatest common factor 39135 and 39141 is 3.

Also check out the Least Common Multiple of 39135 and 39141