What is the Greatest Common Factor of 39078 and 39082?

Greatest common factor (GCF) of 39078 and 39082 is 2.

GCF(39078,39082) = 2

We will now calculate the prime factors of 39078 and 39082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39078 and 39082.

How to find the GCF of 39078 and 39082?

We will first find the prime factorization of 39078 and 39082. After we will calculate the factors of 39078 and 39082 and find the biggest common factor number .

Step-1: Prime Factorization of 39078

Prime factors of 39078 are 2, 3, 13, 167. Prime factorization of 39078 in exponential form is:

39078 = 2¹ × 3² × 13¹ × 167¹

Step-2: Prime Factorization of 39082

Prime factors of 39082 are 2, 19541. Prime factorization of 39082 in exponential form is:

39082 = 2¹ × 19541¹

Step-3: Factors of 39078

List of positive integer factors of 39078 that divides 39078 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 167, 234, 334, 501, 1002, 1503, 2171, 3006, 4342, 6513, 13026, 19539

Step-4: Factors of 39082

List of positive integer factors of 39082 that divides 39078 without a remainder.

1, 2, 19541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39078 and 39082. The biggest common factor number is the GCF number.
So the greatest common factor 39078 and 39082 is 2.

Also check out the Least Common Multiple of 39078 and 39082