What is the Greatest Common Factor of 94260 and 94275?

Greatest common factor (GCF) of 94260 and 94275 is 15.

GCF(94260,94275) = 15

We will now calculate the prime factors of 94260 and 94275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94260 and 94275.

How to find the GCF of 94260 and 94275?

We will first find the prime factorization of 94260 and 94275. After we will calculate the factors of 94260 and 94275 and find the biggest common factor number .

Step-1: Prime Factorization of 94260

Prime factors of 94260 are 2, 3, 5, 1571. Prime factorization of 94260 in exponential form is:

94260 = 2² × 3¹ × 5¹ × 1571¹

Step-2: Prime Factorization of 94275

Prime factors of 94275 are 3, 5, 419. Prime factorization of 94275 in exponential form is:

94275 = 3² × 5² × 419¹

Step-3: Factors of 94260

List of positive integer factors of 94260 that divides 94260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1571, 3142, 4713, 6284, 7855, 9426, 15710, 18852, 23565, 31420, 47130

Step-4: Factors of 94275

List of positive integer factors of 94275 that divides 94260 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 419, 1257, 2095, 3771, 6285, 10475, 18855, 31425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94260 and 94275. The biggest common factor number is the GCF number.
So the greatest common factor 94260 and 94275 is 15.

Also check out the Least Common Multiple of 94260 and 94275