What is the Greatest Common Factor of 91170 and 91185?

Greatest common factor (GCF) of 91170 and 91185 is 15.

GCF(91170,91185) = 15

We will now calculate the prime factors of 91170 and 91185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91170 and 91185.

How to find the GCF of 91170 and 91185?

We will first find the prime factorization of 91170 and 91185. After we will calculate the factors of 91170 and 91185 and find the biggest common factor number .

Step-1: Prime Factorization of 91170

Prime factors of 91170 are 2, 3, 5, 1013. Prime factorization of 91170 in exponential form is:

91170 = 2¹ × 3² × 5¹ × 1013¹

Step-2: Prime Factorization of 91185

Prime factors of 91185 are 3, 5, 6079. Prime factorization of 91185 in exponential form is:

91185 = 3¹ × 5¹ × 6079¹

Step-3: Factors of 91170

List of positive integer factors of 91170 that divides 91170 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1013, 2026, 3039, 5065, 6078, 9117, 10130, 15195, 18234, 30390, 45585

Step-4: Factors of 91185

List of positive integer factors of 91185 that divides 91170 without a remainder.

1, 3, 5, 15, 6079, 18237, 30395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91170 and 91185. The biggest common factor number is the GCF number.
So the greatest common factor 91170 and 91185 is 15.

Also check out the Least Common Multiple of 91170 and 91185