What is the Greatest Common Factor of 39078 and 39091?

Greatest common factor (GCF) of 39078 and 39091 is 13.

GCF(39078,39091) = 13

We will now calculate the prime factors of 39078 and 39091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39078 and 39091.

How to find the GCF of 39078 and 39091?

We will first find the prime factorization of 39078 and 39091. After we will calculate the factors of 39078 and 39091 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 39091

Prime factors of 39091 are 13, 31, 97. Prime factorization of 39091 in exponential form is:

39091 = 13¹ × 31¹ × 97¹

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 39091

List of positive integer factors of 39091 that divides 39078 without a remainder.

1, 13, 31, 97, 403, 1261, 3007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39078 and 39091. The biggest common factor number is the GCF number.
So the greatest common factor 39078 and 39091 is 13.

Also check out the Least Common Multiple of 39078 and 39091