What is the Greatest Common Factor of 91329 and 91336?

Greatest common factor (GCF) of 91329 and 91336 is 7.

GCF(91329,91336) = 7

We will now calculate the prime factors of 91329 and 91336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91329 and 91336.

How to find the GCF of 91329 and 91336?

We will first find the prime factorization of 91329 and 91336. After we will calculate the factors of 91329 and 91336 and find the biggest common factor number .

Step-1: Prime Factorization of 91329

Prime factors of 91329 are 3, 7, 4349. Prime factorization of 91329 in exponential form is:

91329 = 3¹ × 7¹ × 4349¹

Step-2: Prime Factorization of 91336

Prime factors of 91336 are 2, 7, 233. Prime factorization of 91336 in exponential form is:

91336 = 2³ × 7² × 233¹

Step-3: Factors of 91329

List of positive integer factors of 91329 that divides 91329 without a remainder.

1, 3, 7, 21, 4349, 13047, 30443

Step-4: Factors of 91336

List of positive integer factors of 91336 that divides 91329 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 233, 392, 466, 932, 1631, 1864, 3262, 6524, 11417, 13048, 22834, 45668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91329 and 91336. The biggest common factor number is the GCF number.
So the greatest common factor 91329 and 91336 is 7.

Also check out the Least Common Multiple of 91329 and 91336