What is the Greatest Common Factor of 91456 and 91472?

Greatest common factor (GCF) of 91456 and 91472 is 16.

GCF(91456,91472) = 16

We will now calculate the prime factors of 91456 and 91472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91456 and 91472.

How to find the GCF of 91456 and 91472?

We will first find the prime factorization of 91456 and 91472. After we will calculate the factors of 91456 and 91472 and find the biggest common factor number .

Step-1: Prime Factorization of 91456

Prime factors of 91456 are 2, 1429. Prime factorization of 91456 in exponential form is:

91456 = 2⁶ × 1429¹

Step-2: Prime Factorization of 91472

Prime factors of 91472 are 2, 5717. Prime factorization of 91472 in exponential form is:

91472 = 2⁴ × 5717¹

Step-3: Factors of 91456

List of positive integer factors of 91456 that divides 91456 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1429, 2858, 5716, 11432, 22864, 45728

Step-4: Factors of 91472

List of positive integer factors of 91472 that divides 91456 without a remainder.

1, 2, 4, 8, 16, 5717, 11434, 22868, 45736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91456 and 91472. The biggest common factor number is the GCF number.
So the greatest common factor 91456 and 91472 is 16.

Also check out the Least Common Multiple of 91456 and 91472