What is the Greatest Common Factor of 91689 and 91707?

Greatest common factor (GCF) of 91689 and 91707 is 3.

GCF(91689,91707) = 3

We will now calculate the prime factors of 91689 and 91707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91689 and 91707.

How to find the GCF of 91689 and 91707?

We will first find the prime factorization of 91689 and 91707. After we will calculate the factors of 91689 and 91707 and find the biggest common factor number .

Step-1: Prime Factorization of 91689

Prime factors of 91689 are 3, 13, 2351. Prime factorization of 91689 in exponential form is:

91689 = 3¹ × 13¹ × 2351¹

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 91689

List of positive integer factors of 91689 that divides 91689 without a remainder.

1, 3, 13, 39, 2351, 7053, 30563

Step-4: Factors of 91707

List of positive integer factors of 91707 that divides 91689 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 91689 and 91707. The biggest common factor number is the GCF number.
So the greatest common factor 91689 and 91707 is 3.

Also check out the Least Common Multiple of 91689 and 91707