What is the Greatest Common Factor of 91200 and 91215?

Greatest common factor (GCF) of 91200 and 91215 is 15.

GCF(91200,91215) = 15

We will now calculate the prime factors of 91200 and 91215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91200 and 91215.

How to find the GCF of 91200 and 91215?

We will first find the prime factorization of 91200 and 91215. After we will calculate the factors of 91200 and 91215 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91215

Prime factors of 91215 are 3, 5, 2027. Prime factorization of 91215 in exponential form is:

91215 = 3² × 5¹ × 2027¹

Step-3: Factors of 91200

List of positive integer factors of 91200 that divides 91200 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

Step-4: Factors of 91215

List of positive integer factors of 91215 that divides 91200 without a remainder.

1, 3, 5, 9, 15, 45, 2027, 6081, 10135, 18243, 30405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91200 and 91215. The biggest common factor number is the GCF number.
So the greatest common factor 91200 and 91215 is 15.

Also check out the Least Common Multiple of 91200 and 91215