What is the Greatest Common Factor of 91409 and 91426?

Greatest common factor (GCF) of 91409 and 91426 is 17.

GCF(91409,91426) = 17

We will now calculate the prime factors of 91409 and 91426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91409 and 91426.

How to find the GCF of 91409 and 91426?

We will first find the prime factorization of 91409 and 91426. After we will calculate the factors of 91409 and 91426 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 91426

Prime factors of 91426 are 2, 17, 2689. Prime factorization of 91426 in exponential form is:

91426 = 2¹ × 17¹ × 2689¹

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 91426

List of positive integer factors of 91426 that divides 91409 without a remainder.

1, 2, 17, 34, 2689, 5378, 45713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91409 and 91426. The biggest common factor number is the GCF number.
So the greatest common factor 91409 and 91426 is 17.

Also check out the Least Common Multiple of 91409 and 91426