What is the Greatest Common Factor of 91290 and 91305?

Greatest common factor (GCF) of 91290 and 91305 is 15.

GCF(91290,91305) = 15

We will now calculate the prime factors of 91290 and 91305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91290 and 91305.

How to find the GCF of 91290 and 91305?

We will first find the prime factorization of 91290 and 91305. After we will calculate the factors of 91290 and 91305 and find the biggest common factor number .

Step-1: Prime Factorization of 91290

Prime factors of 91290 are 2, 3, 5, 17, 179. Prime factorization of 91290 in exponential form is:

91290 = 2¹ × 3¹ × 5¹ × 17¹ × 179¹

Step-2: Prime Factorization of 91305

Prime factors of 91305 are 3, 5, 2029. Prime factorization of 91305 in exponential form is:

91305 = 3² × 5¹ × 2029¹

Step-3: Factors of 91290

List of positive integer factors of 91290 that divides 91290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 179, 255, 358, 510, 537, 895, 1074, 1790, 2685, 3043, 5370, 6086, 9129, 15215, 18258, 30430, 45645

Step-4: Factors of 91305

List of positive integer factors of 91305 that divides 91290 without a remainder.

1, 3, 5, 9, 15, 45, 2029, 6087, 10145, 18261, 30435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91290 and 91305. The biggest common factor number is the GCF number.
So the greatest common factor 91290 and 91305 is 15.

Also check out the Least Common Multiple of 91290 and 91305