What is the Greatest Common Factor of 91480 and 91496?

Greatest common factor (GCF) of 91480 and 91496 is 8.

GCF(91480,91496) = 8

We will now calculate the prime factors of 91480 and 91496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91480 and 91496.

How to find the GCF of 91480 and 91496?

We will first find the prime factorization of 91480 and 91496. After we will calculate the factors of 91480 and 91496 and find the biggest common factor number .

Step-1: Prime Factorization of 91480

Prime factors of 91480 are 2, 5, 2287. Prime factorization of 91480 in exponential form is:

91480 = 2³ × 5¹ × 2287¹

Step-2: Prime Factorization of 91496

Prime factors of 91496 are 2, 11437. Prime factorization of 91496 in exponential form is:

91496 = 2³ × 11437¹

Step-3: Factors of 91480

List of positive integer factors of 91480 that divides 91480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2287, 4574, 9148, 11435, 18296, 22870, 45740

Step-4: Factors of 91496

List of positive integer factors of 91496 that divides 91480 without a remainder.

1, 2, 4, 8, 11437, 22874, 45748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91480 and 91496. The biggest common factor number is the GCF number.
So the greatest common factor 91480 and 91496 is 8.

Also check out the Least Common Multiple of 91480 and 91496