What is the Greatest Common Factor of 91707 and 91713?

Greatest common factor (GCF) of 91707 and 91713 is 3.

GCF(91707,91713) = 3

We will now calculate the prime factors of 91707 and 91713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91707 and 91713.

How to find the GCF of 91707 and 91713?

We will first find the prime factorization of 91707 and 91713. After we will calculate the factors of 91707 and 91713 and find the biggest common factor number .

Step-1: Prime Factorization of 91707

Prime factors of 91707 are 3, 7, 11, 397. Prime factorization of 91707 in exponential form is:

91707 = 3¹ × 7¹ × 11¹ × 397¹

Step-2: Prime Factorization of 91713

Prime factors of 91713 are 3, 19, 1609. Prime factorization of 91713 in exponential form is:

91713 = 3¹ × 19¹ × 1609¹

Step-3: Factors of 91707

List of positive integer factors of 91707 that divides 91707 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 397, 1191, 2779, 4367, 8337, 13101, 30569

Step-4: Factors of 91713

List of positive integer factors of 91713 that divides 91707 without a remainder.

1, 3, 19, 57, 1609, 4827, 30571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91707 and 91713. The biggest common factor number is the GCF number.
So the greatest common factor 91707 and 91713 is 3.

Also check out the Least Common Multiple of 91707 and 91713