What is the Greatest Common Factor of 91395 and 91400?

Greatest common factor (GCF) of 91395 and 91400 is 5.

GCF(91395,91400) = 5

We will now calculate the prime factors of 91395 and 91400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91395 and 91400.

How to find the GCF of 91395 and 91400?

We will first find the prime factorization of 91395 and 91400. After we will calculate the factors of 91395 and 91400 and find the biggest common factor number .

Step-1: Prime Factorization of 91395

Prime factors of 91395 are 3, 5, 677. Prime factorization of 91395 in exponential form is:

91395 = 3³ × 5¹ × 677¹

Step-2: Prime Factorization of 91400

Prime factors of 91400 are 2, 5, 457. Prime factorization of 91400 in exponential form is:

91400 = 2³ × 5² × 457¹

Step-3: Factors of 91395

List of positive integer factors of 91395 that divides 91395 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 677, 2031, 3385, 6093, 10155, 18279, 30465

Step-4: Factors of 91400

List of positive integer factors of 91400 that divides 91395 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 457, 914, 1828, 2285, 3656, 4570, 9140, 11425, 18280, 22850, 45700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91395 and 91400. The biggest common factor number is the GCF number.
So the greatest common factor 91395 and 91400 is 5.

Also check out the Least Common Multiple of 91395 and 91400