What is the Greatest Common Factor of 78150 and 78165?

Greatest common factor (GCF) of 78150 and 78165 is 15.

GCF(78150,78165) = 15

We will now calculate the prime factors of 78150 and 78165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78150 and 78165.

How to find the GCF of 78150 and 78165?

We will first find the prime factorization of 78150 and 78165. After we will calculate the factors of 78150 and 78165 and find the biggest common factor number .

Step-1: Prime Factorization of 78150

Prime factors of 78150 are 2, 3, 5, 521. Prime factorization of 78150 in exponential form is:

78150 = 2¹ × 3¹ × 5² × 521¹

Step-2: Prime Factorization of 78165

Prime factors of 78165 are 3, 5, 193. Prime factorization of 78165 in exponential form is:

78165 = 3⁴ × 5¹ × 193¹

Step-3: Factors of 78150

List of positive integer factors of 78150 that divides 78150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 521, 1042, 1563, 2605, 3126, 5210, 7815, 13025, 15630, 26050, 39075

Step-4: Factors of 78165

List of positive integer factors of 78165 that divides 78150 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 193, 405, 579, 965, 1737, 2895, 5211, 8685, 15633, 26055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78150 and 78165. The biggest common factor number is the GCF number.
So the greatest common factor 78150 and 78165 is 15.

Also check out the Least Common Multiple of 78150 and 78165