What is the Greatest Common Factor of 90317 and 90321?

Greatest common factor (GCF) of 90317 and 90321 is 1.

GCF(90317,90321) = 1

We will now calculate the prime factors of 90317 and 90321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90317 and 90321.

How to find the GCF of 90317 and 90321?

We will first find the prime factorization of 90317 and 90321. After we will calculate the factors of 90317 and 90321 and find the biggest common factor number .

Step-1: Prime Factorization of 90317

Prime factors of 90317 are 37, 2441. Prime factorization of 90317 in exponential form is:

90317 = 37¹ × 2441¹

Step-2: Prime Factorization of 90321

Prime factors of 90321 are 3, 7, 11, 17, 23. Prime factorization of 90321 in exponential form is:

90321 = 3¹ × 7¹ × 11¹ × 17¹ × 23¹

Step-3: Factors of 90317

List of positive integer factors of 90317 that divides 90317 without a remainder.

1, 37, 2441

Step-4: Factors of 90321

List of positive integer factors of 90321 that divides 90317 without a remainder.

1, 3, 7, 11, 17, 21, 23, 33, 51, 69, 77, 119, 161, 187, 231, 253, 357, 391, 483, 561, 759, 1173, 1309, 1771, 2737, 3927, 4301, 5313, 8211, 12903, 30107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90317 and 90321. The biggest common factor number is the GCF number.
So the greatest common factor 90317 and 90321 is 1.

Also check out the Least Common Multiple of 90317 and 90321