What is the Greatest Common Factor of 90491 and 90508?

Greatest common factor (GCF) of 90491 and 90508 is 17.

GCF(90491,90508) = 17

We will now calculate the prime factors of 90491 and 90508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90491 and 90508.

How to find the GCF of 90491 and 90508?

We will first find the prime factorization of 90491 and 90508. After we will calculate the factors of 90491 and 90508 and find the biggest common factor number .

Step-1: Prime Factorization of 90491

Prime factors of 90491 are 17, 5323. Prime factorization of 90491 in exponential form is:

90491 = 17¹ × 5323¹

Step-2: Prime Factorization of 90508

Prime factors of 90508 are 2, 11, 17. Prime factorization of 90508 in exponential form is:

90508 = 2² × 11³ × 17¹

Step-3: Factors of 90491

List of positive integer factors of 90491 that divides 90491 without a remainder.

1, 17, 5323

Step-4: Factors of 90508

List of positive integer factors of 90508 that divides 90491 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 1331, 2057, 2662, 4114, 5324, 8228, 22627, 45254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90491 and 90508. The biggest common factor number is the GCF number.
So the greatest common factor 90491 and 90508 is 17.

Also check out the Least Common Multiple of 90491 and 90508