What is the Greatest Common Factor of 91409 and 91425?

Greatest common factor (GCF) of 91409 and 91425 is 1.

GCF(91409,91425) = 1

We will now calculate the prime factors of 91409 and 91425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91409 and 91425.

How to find the GCF of 91409 and 91425?

We will first find the prime factorization of 91409 and 91425. After we will calculate the factors of 91409 and 91425 and find the biggest common factor number .

Step-1: Prime Factorization of 91409

Prime factors of 91409 are 17, 19, 283. Prime factorization of 91409 in exponential form is:

91409 = 17¹ × 19¹ × 283¹

Step-2: Prime Factorization of 91425

Prime factors of 91425 are 3, 5, 23, 53. Prime factorization of 91425 in exponential form is:

91425 = 3¹ × 5² × 23¹ × 53¹

Step-3: Factors of 91409

List of positive integer factors of 91409 that divides 91409 without a remainder.

1, 17, 19, 283, 323, 4811, 5377

Step-4: Factors of 91425

List of positive integer factors of 91425 that divides 91409 without a remainder.

1, 3, 5, 15, 23, 25, 53, 69, 75, 115, 159, 265, 345, 575, 795, 1219, 1325, 1725, 3657, 3975, 6095, 18285, 30475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91409 and 91425. The biggest common factor number is the GCF number.
So the greatest common factor 91409 and 91425 is 1.

Also check out the Least Common Multiple of 91409 and 91425