What is the Greatest Common Factor of 91188 and 91205?

Greatest common factor (GCF) of 91188 and 91205 is 17.

GCF(91188,91205) = 17

We will now calculate the prime factors of 91188 and 91205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91188 and 91205.

How to find the GCF of 91188 and 91205?

We will first find the prime factorization of 91188 and 91205. After we will calculate the factors of 91188 and 91205 and find the biggest common factor number .

Step-1: Prime Factorization of 91188

Prime factors of 91188 are 2, 3, 17, 149. Prime factorization of 91188 in exponential form is:

91188 = 2² × 3² × 17¹ × 149¹

Step-2: 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-3: Factors of 91188

List of positive integer factors of 91188 that divides 91188 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 149, 153, 204, 298, 306, 447, 596, 612, 894, 1341, 1788, 2533, 2682, 5066, 5364, 7599, 10132, 15198, 22797, 30396, 45594

Step-4: Factors of 91205

List of positive integer factors of 91205 that divides 91188 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91188 and 91205. The biggest common factor number is the GCF number.
So the greatest common factor 91188 and 91205 is 17.

Also check out the Least Common Multiple of 91188 and 91205