What is the Greatest Common Factor of 91107 and 91113?

Greatest common factor (GCF) of 91107 and 91113 is 3.

GCF(91107,91113) = 3

We will now calculate the prime factors of 91107 and 91113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91107 and 91113.

How to find the GCF of 91107 and 91113?

We will first find the prime factorization of 91107 and 91113. After we will calculate the factors of 91107 and 91113 and find the biggest common factor number .

Step-1: Prime Factorization of 91107

Prime factors of 91107 are 3, 53, 191. Prime factorization of 91107 in exponential form is:

91107 = 3² × 53¹ × 191¹

Step-2: Prime Factorization of 91113

Prime factors of 91113 are 3, 11, 251. Prime factorization of 91113 in exponential form is:

91113 = 3¹ × 11² × 251¹

Step-3: Factors of 91107

List of positive integer factors of 91107 that divides 91107 without a remainder.

1, 3, 9, 53, 159, 191, 477, 573, 1719, 10123, 30369

Step-4: Factors of 91113

List of positive integer factors of 91113 that divides 91107 without a remainder.

1, 3, 11, 33, 121, 251, 363, 753, 2761, 8283, 30371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91107 and 91113. The biggest common factor number is the GCF number.
So the greatest common factor 91107 and 91113 is 3.

Also check out the Least Common Multiple of 91107 and 91113