What is the Greatest Common Factor of 91305 and 91310?

Greatest common factor (GCF) of 91305 and 91310 is 5.

GCF(91305,91310) = 5

We will now calculate the prime factors of 91305 and 91310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91305 and 91310.

How to find the GCF of 91305 and 91310?

We will first find the prime factorization of 91305 and 91310. After we will calculate the factors of 91305 and 91310 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 91310

Prime factors of 91310 are 2, 5, 23, 397. Prime factorization of 91310 in exponential form is:

91310 = 2¹ × 5¹ × 23¹ × 397¹

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 91310

List of positive integer factors of 91310 that divides 91305 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 397, 794, 1985, 3970, 9131, 18262, 45655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91305 and 91310. The biggest common factor number is the GCF number.
So the greatest common factor 91305 and 91310 is 5.

Also check out the Least Common Multiple of 91305 and 91310