What is the Greatest Common Factor of 39065 and 39078?

Greatest common factor (GCF) of 39065 and 39078 is 13.

GCF(39065,39078) = 13

We will now calculate the prime factors of 39065 and 39078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39065 and 39078.

How to find the GCF of 39065 and 39078?

We will first find the prime factorization of 39065 and 39078. After we will calculate the factors of 39065 and 39078 and find the biggest common factor number .

Step-1: Prime Factorization of 39065

Prime factors of 39065 are 5, 13, 601. Prime factorization of 39065 in exponential form is:

39065 = 5¹ × 13¹ × 601¹

Step-2: 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-3: Factors of 39065

List of positive integer factors of 39065 that divides 39065 without a remainder.

1, 5, 13, 65, 601, 3005, 7813

Step-4: Factors of 39078

List of positive integer factors of 39078 that divides 39065 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39065 and 39078. The biggest common factor number is the GCF number.
So the greatest common factor 39065 and 39078 is 13.

Also check out the Least Common Multiple of 39065 and 39078