What is the Greatest Common Factor of 91395 and 91402?

Greatest common factor (GCF) of 91395 and 91402 is 1.

GCF(91395,91402) = 1

We will now calculate the prime factors of 91395 and 91402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91395 and 91402.

How to find the GCF of 91395 and 91402?

We will first find the prime factorization of 91395 and 91402. After we will calculate the factors of 91395 and 91402 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 91402

Prime factors of 91402 are 2, 23, 1987. Prime factorization of 91402 in exponential form is:

91402 = 2¹ × 23¹ × 1987¹

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 91402

List of positive integer factors of 91402 that divides 91395 without a remainder.

1, 2, 23, 46, 1987, 3974, 45701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91395 and 91402. The biggest common factor number is the GCF number.
So the greatest common factor 91395 and 91402 is 1.

Also check out the Least Common Multiple of 91395 and 91402