What is the Greatest Common Factor of 91365 and 91380?

Greatest common factor (GCF) of 91365 and 91380 is 15.

GCF(91365,91380) = 15

We will now calculate the prime factors of 91365 and 91380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91365 and 91380.

How to find the GCF of 91365 and 91380?

We will first find the prime factorization of 91365 and 91380. After we will calculate the factors of 91365 and 91380 and find the biggest common factor number .

Step-1: Prime Factorization of 91365

Prime factors of 91365 are 3, 5, 6091. Prime factorization of 91365 in exponential form is:

91365 = 3¹ × 5¹ × 6091¹

Step-2: Prime Factorization of 91380

Prime factors of 91380 are 2, 3, 5, 1523. Prime factorization of 91380 in exponential form is:

91380 = 2² × 3¹ × 5¹ × 1523¹

Step-3: Factors of 91365

List of positive integer factors of 91365 that divides 91365 without a remainder.

1, 3, 5, 15, 6091, 18273, 30455

Step-4: Factors of 91380

List of positive integer factors of 91380 that divides 91365 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1523, 3046, 4569, 6092, 7615, 9138, 15230, 18276, 22845, 30460, 45690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91365 and 91380. The biggest common factor number is the GCF number.
So the greatest common factor 91365 and 91380 is 15.

Also check out the Least Common Multiple of 91365 and 91380