What is the Greatest Common Factor of 91305 and 91320?

Greatest common factor (GCF) of 91305 and 91320 is 15.

GCF(91305,91320) = 15

We will now calculate the prime factors of 91305 and 91320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91305 and 91320.

How to find the GCF of 91305 and 91320?

We will first find the prime factorization of 91305 and 91320. After we will calculate the factors of 91305 and 91320 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91320

Prime factors of 91320 are 2, 3, 5, 761. Prime factorization of 91320 in exponential form is:

91320 = 2³ × 3¹ × 5¹ × 761¹

Step-3: Factors of 91305

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

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

Step-4: Factors of 91320

List of positive integer factors of 91320 that divides 91305 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 761, 1522, 2283, 3044, 3805, 4566, 6088, 7610, 9132, 11415, 15220, 18264, 22830, 30440, 45660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91305 and 91320. The biggest common factor number is the GCF number.
So the greatest common factor 91305 and 91320 is 15.

Also check out the Least Common Multiple of 91305 and 91320