What is the Greatest Common Factor of 91296 and 91312?

Greatest common factor (GCF) of 91296 and 91312 is 16.

GCF(91296,91312) = 16

We will now calculate the prime factors of 91296 and 91312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91296 and 91312.

How to find the GCF of 91296 and 91312?

We will first find the prime factorization of 91296 and 91312. After we will calculate the factors of 91296 and 91312 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 91312

Prime factors of 91312 are 2, 13, 439. Prime factorization of 91312 in exponential form is:

91312 = 2⁴ × 13¹ × 439¹

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 91312

List of positive integer factors of 91312 that divides 91296 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 439, 878, 1756, 3512, 5707, 7024, 11414, 22828, 45656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91296 and 91312. The biggest common factor number is the GCF number.
So the greatest common factor 91296 and 91312 is 16.

Also check out the Least Common Multiple of 91296 and 91312