What is the Greatest Common Factor of 91775 and 91790?

Greatest common factor (GCF) of 91775 and 91790 is 5.

GCF(91775,91790) = 5

We will now calculate the prime factors of 91775 and 91790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91775 and 91790.

How to find the GCF of 91775 and 91790?

We will first find the prime factorization of 91775 and 91790. After we will calculate the factors of 91775 and 91790 and find the biggest common factor number .

Step-1: Prime Factorization of 91775

Prime factors of 91775 are 5, 3671. Prime factorization of 91775 in exponential form is:

91775 = 5² × 3671¹

Step-2: Prime Factorization of 91790

Prime factors of 91790 are 2, 5, 67, 137. Prime factorization of 91790 in exponential form is:

91790 = 2¹ × 5¹ × 67¹ × 137¹

Step-3: Factors of 91775

List of positive integer factors of 91775 that divides 91775 without a remainder.

1, 5, 25, 3671, 18355

Step-4: Factors of 91790

List of positive integer factors of 91790 that divides 91775 without a remainder.

1, 2, 5, 10, 67, 134, 137, 274, 335, 670, 685, 1370, 9179, 18358, 45895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91775 and 91790. The biggest common factor number is the GCF number.
So the greatest common factor 91775 and 91790 is 5.

Also check out the Least Common Multiple of 91775 and 91790