What is the Greatest Common Factor of 91205 and 91209?

Greatest common factor (GCF) of 91205 and 91209 is 1.

GCF(91205,91209) = 1

We will now calculate the prime factors of 91205 and 91209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91205 and 91209.

How to find the GCF of 91205 and 91209?

We will first find the prime factorization of 91205 and 91209. After we will calculate the factors of 91205 and 91209 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 91209

Prime factors of 91209 are 3, 30403. Prime factorization of 91209 in exponential form is:

91209 = 3¹ × 30403¹

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 91209

List of positive integer factors of 91209 that divides 91205 without a remainder.

1, 3, 30403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91205 and 91209. The biggest common factor number is the GCF number.
So the greatest common factor 91205 and 91209 is 1.

Also check out the Least Common Multiple of 91205 and 91209