What is the Greatest Common Factor of 91693 and 91707?

Greatest common factor (GCF) of 91693 and 91707 is 7.

GCF(91693,91707) = 7

We will now calculate the prime factors of 91693 and 91707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91693 and 91707.

How to find the GCF of 91693 and 91707?

We will first find the prime factorization of 91693 and 91707. After we will calculate the factors of 91693 and 91707 and find the biggest common factor number .

Step-1: Prime Factorization of 91693

Prime factors of 91693 are 7, 13099. Prime factorization of 91693 in exponential form is:

91693 = 7¹ × 13099¹

Step-2: 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-3: Factors of 91693

List of positive integer factors of 91693 that divides 91693 without a remainder.

1, 7, 13099

Step-4: Factors of 91707

List of positive integer factors of 91707 that divides 91693 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91693 and 91707. The biggest common factor number is the GCF number.
So the greatest common factor 91693 and 91707 is 7.

Also check out the Least Common Multiple of 91693 and 91707