What is the Greatest Common Factor of 91050 and 91065?

Greatest common factor (GCF) of 91050 and 91065 is 15.

GCF(91050,91065) = 15

We will now calculate the prime factors of 91050 and 91065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91050 and 91065.

How to find the GCF of 91050 and 91065?

We will first find the prime factorization of 91050 and 91065. After we will calculate the factors of 91050 and 91065 and find the biggest common factor number .

Step-1: Prime Factorization of 91050

Prime factors of 91050 are 2, 3, 5, 607. Prime factorization of 91050 in exponential form is:

91050 = 2¹ × 3¹ × 5² × 607¹

Step-2: Prime Factorization of 91065

Prime factors of 91065 are 3, 5, 13, 467. Prime factorization of 91065 in exponential form is:

91065 = 3¹ × 5¹ × 13¹ × 467¹

Step-3: Factors of 91050

List of positive integer factors of 91050 that divides 91050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 607, 1214, 1821, 3035, 3642, 6070, 9105, 15175, 18210, 30350, 45525

Step-4: Factors of 91065

List of positive integer factors of 91065 that divides 91050 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 467, 1401, 2335, 6071, 7005, 18213, 30355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91050 and 91065. The biggest common factor number is the GCF number.
So the greatest common factor 91050 and 91065 is 15.

Also check out the Least Common Multiple of 91050 and 91065