What is the Greatest Common Factor of 91500 and 91515?

Greatest common factor (GCF) of 91500 and 91515 is 15.

GCF(91500,91515) = 15

We will now calculate the prime factors of 91500 and 91515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91500 and 91515.

How to find the GCF of 91500 and 91515?

We will first find the prime factorization of 91500 and 91515. After we will calculate the factors of 91500 and 91515 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91515

Prime factors of 91515 are 3, 5, 6101. Prime factorization of 91515 in exponential form is:

91515 = 3¹ × 5¹ × 6101¹

Step-3: Factors of 91500

List of positive integer factors of 91500 that divides 91500 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

Step-4: Factors of 91515

List of positive integer factors of 91515 that divides 91500 without a remainder.

1, 3, 5, 15, 6101, 18303, 30505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91500 and 91515. The biggest common factor number is the GCF number.
So the greatest common factor 91500 and 91515 is 15.

Also check out the Least Common Multiple of 91500 and 91515