What is the Greatest Common Factor of 78135 and 78150?

Greatest common factor (GCF) of 78135 and 78150 is 15.

GCF(78135,78150) = 15

We will now calculate the prime factors of 78135 and 78150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78135 and 78150.

How to find the GCF of 78135 and 78150?

We will first find the prime factorization of 78135 and 78150. After we will calculate the factors of 78135 and 78150 and find the biggest common factor number .

Step-1: Prime Factorization of 78135

Prime factors of 78135 are 3, 5, 5209. Prime factorization of 78135 in exponential form is:

78135 = 3¹ × 5¹ × 5209¹

Step-2: 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-3: Factors of 78135

List of positive integer factors of 78135 that divides 78135 without a remainder.

1, 3, 5, 15, 5209, 15627, 26045

Step-4: Factors of 78150

List of positive integer factors of 78150 that divides 78135 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78135 and 78150. The biggest common factor number is the GCF number.
So the greatest common factor 78135 and 78150 is 15.

Also check out the Least Common Multiple of 78135 and 78150