What is the Greatest Common Factor of 91675 and 91695?

Greatest common factor (GCF) of 91675 and 91695 is 5.

GCF(91675,91695) = 5

We will now calculate the prime factors of 91675 and 91695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91675 and 91695.

How to find the GCF of 91675 and 91695?

We will first find the prime factorization of 91675 and 91695. After we will calculate the factors of 91675 and 91695 and find the biggest common factor number .

Step-1: Prime Factorization of 91675

Prime factors of 91675 are 5, 19, 193. Prime factorization of 91675 in exponential form is:

91675 = 5² × 19¹ × 193¹

Step-2: Prime Factorization of 91695

Prime factors of 91695 are 3, 5, 6113. Prime factorization of 91695 in exponential form is:

91695 = 3¹ × 5¹ × 6113¹

Step-3: Factors of 91675

List of positive integer factors of 91675 that divides 91675 without a remainder.

1, 5, 19, 25, 95, 193, 475, 965, 3667, 4825, 18335

Step-4: Factors of 91695

List of positive integer factors of 91695 that divides 91675 without a remainder.

1, 3, 5, 15, 6113, 18339, 30565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91675 and 91695. The biggest common factor number is the GCF number.
So the greatest common factor 91675 and 91695 is 5.

Also check out the Least Common Multiple of 91675 and 91695