What is the Greatest Common Factor of 39126 and 39138?

Greatest common factor (GCF) of 39126 and 39138 is 6.

GCF(39126,39138) = 6

We will now calculate the prime factors of 39126 and 39138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39126 and 39138.

How to find the GCF of 39126 and 39138?

We will first find the prime factorization of 39126 and 39138. After we will calculate the factors of 39126 and 39138 and find the biggest common factor number .

Step-1: Prime Factorization of 39126

Prime factors of 39126 are 2, 3, 6521. Prime factorization of 39126 in exponential form is:

39126 = 2¹ × 3¹ × 6521¹

Step-2: Prime Factorization of 39138

Prime factors of 39138 are 2, 3, 11, 593. Prime factorization of 39138 in exponential form is:

39138 = 2¹ × 3¹ × 11¹ × 593¹

Step-3: Factors of 39126

List of positive integer factors of 39126 that divides 39126 without a remainder.

1, 2, 3, 6, 6521, 13042, 19563

Step-4: Factors of 39138

List of positive integer factors of 39138 that divides 39126 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 593, 1186, 1779, 3558, 6523, 13046, 19569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39126 and 39138. The biggest common factor number is the GCF number.
So the greatest common factor 39126 and 39138 is 6.

Also check out the Least Common Multiple of 39126 and 39138