What is the Greatest Common Factor of 91663 and 91676?

Greatest common factor (GCF) of 91663 and 91676 is 13.

GCF(91663,91676) = 13

We will now calculate the prime factors of 91663 and 91676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91663 and 91676.

How to find the GCF of 91663 and 91676?

We will first find the prime factorization of 91663 and 91676. After we will calculate the factors of 91663 and 91676 and find the biggest common factor number .

Step-1: Prime Factorization of 91663

Prime factors of 91663 are 11, 13, 641. Prime factorization of 91663 in exponential form is:

91663 = 11¹ × 13¹ × 641¹

Step-2: Prime Factorization of 91676

Prime factors of 91676 are 2, 13, 41, 43. Prime factorization of 91676 in exponential form is:

91676 = 2² × 13¹ × 41¹ × 43¹

Step-3: Factors of 91663

List of positive integer factors of 91663 that divides 91663 without a remainder.

1, 11, 13, 143, 641, 7051, 8333

Step-4: Factors of 91676

List of positive integer factors of 91676 that divides 91663 without a remainder.

1, 2, 4, 13, 26, 41, 43, 52, 82, 86, 164, 172, 533, 559, 1066, 1118, 1763, 2132, 2236, 3526, 7052, 22919, 45838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91663 and 91676. The biggest common factor number is the GCF number.
So the greatest common factor 91663 and 91676 is 13.

Also check out the Least Common Multiple of 91663 and 91676