What is the Greatest Common Factor of 94275 and 94290?

Greatest common factor (GCF) of 94275 and 94290 is 15.

GCF(94275,94290) = 15

We will now calculate the prime factors of 94275 and 94290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94275 and 94290.

How to find the GCF of 94275 and 94290?

We will first find the prime factorization of 94275 and 94290. After we will calculate the factors of 94275 and 94290 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94290

Prime factors of 94290 are 2, 3, 5, 7, 449. Prime factorization of 94290 in exponential form is:

94290 = 2¹ × 3¹ × 5¹ × 7¹ × 449¹

Step-3: Factors of 94275

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

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

Step-4: Factors of 94290

List of positive integer factors of 94290 that divides 94275 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 449, 898, 1347, 2245, 2694, 3143, 4490, 6286, 6735, 9429, 13470, 15715, 18858, 31430, 47145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94275 and 94290. The biggest common factor number is the GCF number.
So the greatest common factor 94275 and 94290 is 15.

Also check out the Least Common Multiple of 94275 and 94290