What is the Greatest Common Factor of 91472 and 91482?

Greatest common factor (GCF) of 91472 and 91482 is 2.

GCF(91472,91482) = 2

We will now calculate the prime factors of 91472 and 91482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91472 and 91482.

How to find the GCF of 91472 and 91482?

We will first find the prime factorization of 91472 and 91482. After we will calculate the factors of 91472 and 91482 and find the biggest common factor number .

Step-1: Prime Factorization of 91472

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

91472 = 2⁴ × 5717¹

Step-2: Prime Factorization of 91482

Prime factors of 91482 are 2, 3, 79, 193. Prime factorization of 91482 in exponential form is:

91482 = 2¹ × 3¹ × 79¹ × 193¹

Step-3: Factors of 91472

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

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

Step-4: Factors of 91482

List of positive integer factors of 91482 that divides 91472 without a remainder.

1, 2, 3, 6, 79, 158, 193, 237, 386, 474, 579, 1158, 15247, 30494, 45741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91472 and 91482. The biggest common factor number is the GCF number.
So the greatest common factor 91472 and 91482 is 2.

Also check out the Least Common Multiple of 91472 and 91482