What is the Greatest Common Factor of 91675 and 91690?

Greatest common factor (GCF) of 91675 and 91690 is 5.

GCF(91675,91690) = 5

We will now calculate the prime factors of 91675 and 91690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91675 and 91690.

How to find the GCF of 91675 and 91690?

We will first find the prime factorization of 91675 and 91690. After we will calculate the factors of 91675 and 91690 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 91690

Prime factors of 91690 are 2, 5, 53, 173. Prime factorization of 91690 in exponential form is:

91690 = 2¹ × 5¹ × 53¹ × 173¹

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 91690

List of positive integer factors of 91690 that divides 91675 without a remainder.

1, 2, 5, 10, 53, 106, 173, 265, 346, 530, 865, 1730, 9169, 18338, 45845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91675 and 91690. The biggest common factor number is the GCF number.
So the greatest common factor 91675 and 91690 is 5.

Also check out the Least Common Multiple of 91675 and 91690