What is the Greatest Common Factor of 89400 and 89415?

Greatest common factor (GCF) of 89400 and 89415 is 15.

GCF(89400,89415) = 15

We will now calculate the prime factors of 89400 and 89415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89400 and 89415.

How to find the GCF of 89400 and 89415?

We will first find the prime factorization of 89400 and 89415. After we will calculate the factors of 89400 and 89415 and find the biggest common factor number .

Step-1: Prime Factorization of 89400

Prime factors of 89400 are 2, 3, 5, 149. Prime factorization of 89400 in exponential form is:

89400 = 2³ × 3¹ × 5² × 149¹

Step-2: Prime Factorization of 89415

Prime factors of 89415 are 3, 5, 1987. Prime factorization of 89415 in exponential form is:

89415 = 3² × 5¹ × 1987¹

Step-3: Factors of 89400

List of positive integer factors of 89400 that divides 89400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 149, 150, 200, 298, 300, 447, 596, 600, 745, 894, 1192, 1490, 1788, 2235, 2980, 3576, 3725, 4470, 5960, 7450, 8940, 11175, 14900, 17880, 22350, 29800, 44700

Step-4: Factors of 89415

List of positive integer factors of 89415 that divides 89400 without a remainder.

1, 3, 5, 9, 15, 45, 1987, 5961, 9935, 17883, 29805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89400 and 89415. The biggest common factor number is the GCF number.
So the greatest common factor 89400 and 89415 is 15.

Also check out the Least Common Multiple of 89400 and 89415