What is the Greatest Common Factor of 91365 and 91370?

Greatest common factor (GCF) of 91365 and 91370 is 5.

GCF(91365,91370) = 5

We will now calculate the prime factors of 91365 and 91370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91365 and 91370.

How to find the GCF of 91365 and 91370?

We will first find the prime factorization of 91365 and 91370. After we will calculate the factors of 91365 and 91370 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 91370

Prime factors of 91370 are 2, 5, 9137. Prime factorization of 91370 in exponential form is:

91370 = 2¹ × 5¹ × 9137¹

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 91370

List of positive integer factors of 91370 that divides 91365 without a remainder.

1, 2, 5, 10, 9137, 18274, 45685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91365 and 91370. The biggest common factor number is the GCF number.
So the greatest common factor 91365 and 91370 is 5.

Also check out the Least Common Multiple of 91365 and 91370