What is the Greatest Common Factor of 39129 and 39146?

Greatest common factor (GCF) of 39129 and 39146 is 1.

GCF(39129,39146) = 1

We will now calculate the prime factors of 39129 and 39146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39129 and 39146.

How to find the GCF of 39129 and 39146?

We will first find the prime factorization of 39129 and 39146. After we will calculate the factors of 39129 and 39146 and find the biggest common factor number .

Step-1: Prime Factorization of 39129

Prime factors of 39129 are 3, 13043. Prime factorization of 39129 in exponential form is:

39129 = 3¹ × 13043¹

Step-2: Prime Factorization of 39146

Prime factors of 39146 are 2, 23, 37. Prime factorization of 39146 in exponential form is:

39146 = 2¹ × 23² × 37¹

Step-3: Factors of 39129

List of positive integer factors of 39129 that divides 39129 without a remainder.

1, 3, 13043

Step-4: Factors of 39146

List of positive integer factors of 39146 that divides 39129 without a remainder.

1, 2, 23, 37, 46, 74, 529, 851, 1058, 1702, 19573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39129 and 39146. The biggest common factor number is the GCF number.
So the greatest common factor 39129 and 39146 is 1.

Also check out the Least Common Multiple of 39129 and 39146