What is the Greatest Common Factor of 91185 and 91200?

Greatest common factor (GCF) of 91185 and 91200 is 15.

GCF(91185,91200) = 15

We will now calculate the prime factors of 91185 and 91200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91185 and 91200.

How to find the GCF of 91185 and 91200?

We will first find the prime factorization of 91185 and 91200. After we will calculate the factors of 91185 and 91200 and find the biggest common factor number .

Step-1: Prime Factorization of 91185

Prime factors of 91185 are 3, 5, 6079. Prime factorization of 91185 in exponential form is:

91185 = 3¹ × 5¹ × 6079¹

Step-2: Prime Factorization of 91200

Prime factors of 91200 are 2, 3, 5, 19. Prime factorization of 91200 in exponential form is:

91200 = 2⁶ × 3¹ × 5² × 19¹

Step-3: Factors of 91185

List of positive integer factors of 91185 that divides 91185 without a remainder.

1, 3, 5, 15, 6079, 18237, 30395

Step-4: Factors of 91200

List of positive integer factors of 91200 that divides 91185 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 25, 30, 32, 38, 40, 48, 50, 57, 60, 64, 75, 76, 80, 95, 96, 100, 114, 120, 150, 152, 160, 190, 192, 200, 228, 240, 285, 300, 304, 320, 380, 400, 456, 475, 480, 570, 600, 608, 760, 800, 912, 950, 960, 1140, 1200, 1216, 1425, 1520, 1600, 1824, 1900, 2280, 2400, 2850, 3040, 3648, 3800, 4560, 4800, 5700, 6080, 7600, 9120, 11400, 15200, 18240, 22800, 30400, 45600

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91185 and 91200. The biggest common factor number is the GCF number.
So the greatest common factor 91185 and 91200 is 15.

Also check out the Least Common Multiple of 91185 and 91200