What is the Greatest Common Factor of 91280 and 91296?

Greatest common factor (GCF) of 91280 and 91296 is 16.

GCF(91280,91296) = 16

We will now calculate the prime factors of 91280 and 91296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91280 and 91296.

How to find the GCF of 91280 and 91296?

We will first find the prime factorization of 91280 and 91296. After we will calculate the factors of 91280 and 91296 and find the biggest common factor number .

Step-1: Prime Factorization of 91280

Prime factors of 91280 are 2, 5, 7, 163. Prime factorization of 91280 in exponential form is:

91280 = 2⁴ × 5¹ × 7¹ × 163¹

Step-2: 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-3: Factors of 91280

List of positive integer factors of 91280 that divides 91280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 163, 280, 326, 560, 652, 815, 1141, 1304, 1630, 2282, 2608, 3260, 4564, 5705, 6520, 9128, 11410, 13040, 18256, 22820, 45640

Step-4: Factors of 91296

List of positive integer factors of 91296 that divides 91280 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91280 and 91296. The biggest common factor number is the GCF number.
So the greatest common factor 91280 and 91296 is 16.

Also check out the Least Common Multiple of 91280 and 91296