What is the Greatest Common Factor of 91204 and 91216?

Greatest common factor (GCF) of 91204 and 91216 is 4.

GCF(91204,91216) = 4

We will now calculate the prime factors of 91204 and 91216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91204 and 91216.

How to find the GCF of 91204 and 91216?

We will first find the prime factorization of 91204 and 91216. After we will calculate the factors of 91204 and 91216 and find the biggest common factor number .

Step-1: Prime Factorization of 91204

Prime factors of 91204 are 2, 151. Prime factorization of 91204 in exponential form is:

91204 = 2² × 151²

Step-2: Prime Factorization of 91216

Prime factors of 91216 are 2, 5701. Prime factorization of 91216 in exponential form is:

91216 = 2⁴ × 5701¹

Step-3: Factors of 91204

List of positive integer factors of 91204 that divides 91204 without a remainder.

1, 2, 4, 151, 302, 604, 22801, 45602

Step-4: Factors of 91216

List of positive integer factors of 91216 that divides 91204 without a remainder.

1, 2, 4, 8, 16, 5701, 11402, 22804, 45608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91204 and 91216. The biggest common factor number is the GCF number.
So the greatest common factor 91204 and 91216 is 4.

Also check out the Least Common Multiple of 91204 and 91216