What is the Greatest Common Factor of 91205 and 91220?

Greatest common factor (GCF) of 91205 and 91220 is 5.

GCF(91205,91220) = 5

We will now calculate the prime factors of 91205 and 91220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91205 and 91220.

How to find the GCF of 91205 and 91220?

We will first find the prime factorization of 91205 and 91220. After we will calculate the factors of 91205 and 91220 and find the biggest common factor number .

Step-1: Prime Factorization of 91205

Prime factors of 91205 are 5, 17, 29, 37. Prime factorization of 91205 in exponential form is:

91205 = 5¹ × 17¹ × 29¹ × 37¹

Step-2: Prime Factorization of 91220

Prime factors of 91220 are 2, 5, 4561. Prime factorization of 91220 in exponential form is:

91220 = 2² × 5¹ × 4561¹

Step-3: Factors of 91205

List of positive integer factors of 91205 that divides 91205 without a remainder.

1, 5, 17, 29, 37, 85, 145, 185, 493, 629, 1073, 2465, 3145, 5365, 18241

Step-4: Factors of 91220

List of positive integer factors of 91220 that divides 91205 without a remainder.

1, 2, 4, 5, 10, 20, 4561, 9122, 18244, 22805, 45610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91205 and 91220. The biggest common factor number is the GCF number.
So the greatest common factor 91205 and 91220 is 5.

Also check out the Least Common Multiple of 91205 and 91220