What is the Greatest Common Factor of 91296 and 91313?

Greatest common factor (GCF) of 91296 and 91313 is 1.

GCF(91296,91313) = 1

We will now calculate the prime factors of 91296 and 91313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91296 and 91313.

How to find the GCF of 91296 and 91313?

We will first find the prime factorization of 91296 and 91313. After we will calculate the factors of 91296 and 91313 and find the biggest common factor number .

Step-1: Prime Factorization of 91296

Prime factors of 91296 are 2, 3, 317. Prime factorization of 91296 in exponential form is:

91296 = 2⁵ × 3² × 317¹

Step-2: Prime Factorization of 91313

Prime factors of 91313 are 127, 719. Prime factorization of 91313 in exponential form is:

91313 = 127¹ × 719¹

Step-3: Factors of 91296

List of positive integer factors of 91296 that divides 91296 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 317, 634, 951, 1268, 1902, 2536, 2853, 3804, 5072, 5706, 7608, 10144, 11412, 15216, 22824, 30432, 45648

Step-4: Factors of 91313

List of positive integer factors of 91313 that divides 91296 without a remainder.

1, 127, 719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91296 and 91313. The biggest common factor number is the GCF number.
So the greatest common factor 91296 and 91313 is 1.

Also check out the Least Common Multiple of 91296 and 91313