What is the Greatest Common Factor of 91345 and 91360?

Greatest common factor (GCF) of 91345 and 91360 is 5.

GCF(91345,91360) = 5

We will now calculate the prime factors of 91345 and 91360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91345 and 91360.

How to find the GCF of 91345 and 91360?

We will first find the prime factorization of 91345 and 91360. After we will calculate the factors of 91345 and 91360 and find the biggest common factor number .

Step-1: Prime Factorization of 91345

Prime factors of 91345 are 5, 18269. Prime factorization of 91345 in exponential form is:

91345 = 5¹ × 18269¹

Step-2: Prime Factorization of 91360

Prime factors of 91360 are 2, 5, 571. Prime factorization of 91360 in exponential form is:

91360 = 2⁵ × 5¹ × 571¹

Step-3: Factors of 91345

List of positive integer factors of 91345 that divides 91345 without a remainder.

1, 5, 18269

Step-4: Factors of 91360

List of positive integer factors of 91360 that divides 91345 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 571, 1142, 2284, 2855, 4568, 5710, 9136, 11420, 18272, 22840, 45680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91345 and 91360. The biggest common factor number is the GCF number.
So the greatest common factor 91345 and 91360 is 5.

Also check out the Least Common Multiple of 91345 and 91360