What is the Greatest Common Factor of 91205 and 91225?

Greatest common factor (GCF) of 91205 and 91225 is 5.

GCF(91205,91225) = 5

We will now calculate the prime factors of 91205 and 91225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91205 and 91225.

How to find the GCF of 91205 and 91225?

We will first find the prime factorization of 91205 and 91225. After we will calculate the factors of 91205 and 91225 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 91225

Prime factors of 91225 are 5, 41, 89. Prime factorization of 91225 in exponential form is:

91225 = 5² × 41¹ × 89¹

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 91225

List of positive integer factors of 91225 that divides 91205 without a remainder.

1, 5, 25, 41, 89, 205, 445, 1025, 2225, 3649, 18245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91205 and 91225. The biggest common factor number is the GCF number.
So the greatest common factor 91205 and 91225 is 5.

Also check out the Least Common Multiple of 91205 and 91225