What is the Greatest Common Factor of 91485 and 91500?

Greatest common factor (GCF) of 91485 and 91500 is 15.

GCF(91485,91500) = 15

We will now calculate the prime factors of 91485 and 91500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91485 and 91500.

How to find the GCF of 91485 and 91500?

We will first find the prime factorization of 91485 and 91500. After we will calculate the factors of 91485 and 91500 and find the biggest common factor number .

Step-1: Prime Factorization of 91485

Prime factors of 91485 are 3, 5, 19, 107. Prime factorization of 91485 in exponential form is:

91485 = 3² × 5¹ × 19¹ × 107¹

Step-2: Prime Factorization of 91500

Prime factors of 91500 are 2, 3, 5, 61. Prime factorization of 91500 in exponential form is:

91500 = 2² × 3¹ × 5³ × 61¹

Step-3: Factors of 91485

List of positive integer factors of 91485 that divides 91485 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 107, 171, 285, 321, 535, 855, 963, 1605, 2033, 4815, 6099, 10165, 18297, 30495

Step-4: Factors of 91500

List of positive integer factors of 91500 that divides 91485 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 61, 75, 100, 122, 125, 150, 183, 244, 250, 300, 305, 366, 375, 500, 610, 732, 750, 915, 1220, 1500, 1525, 1830, 3050, 3660, 4575, 6100, 7625, 9150, 15250, 18300, 22875, 30500, 45750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91485 and 91500. The biggest common factor number is the GCF number.
So the greatest common factor 91485 and 91500 is 15.

Also check out the Least Common Multiple of 91485 and 91500