What is the Greatest Common Factor of 91689 and 91701?

Greatest common factor (GCF) of 91689 and 91701 is 3.

GCF(91689,91701) = 3

We will now calculate the prime factors of 91689 and 91701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91689 and 91701.

How to find the GCF of 91689 and 91701?

We will first find the prime factorization of 91689 and 91701. After we will calculate the factors of 91689 and 91701 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 91701

Prime factors of 91701 are 3, 23, 443. Prime factorization of 91701 in exponential form is:

91701 = 3² × 23¹ × 443¹

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 91701

List of positive integer factors of 91701 that divides 91689 without a remainder.

1, 3, 9, 23, 69, 207, 443, 1329, 3987, 10189, 30567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91689 and 91701. The biggest common factor number is the GCF number.
So the greatest common factor 91689 and 91701 is 3.

Also check out the Least Common Multiple of 91689 and 91701