What is the Greatest Common Factor of 90324 and 90337?

Greatest common factor (GCF) of 90324 and 90337 is 13.

GCF(90324,90337) = 13

We will now calculate the prime factors of 90324 and 90337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90324 and 90337.

How to find the GCF of 90324 and 90337?

We will first find the prime factorization of 90324 and 90337. After we will calculate the factors of 90324 and 90337 and find the biggest common factor number .

Step-1: Prime Factorization of 90324

Prime factors of 90324 are 2, 3, 13, 193. Prime factorization of 90324 in exponential form is:

90324 = 2² × 3² × 13¹ × 193¹

Step-2: Prime Factorization of 90337

Prime factors of 90337 are 13, 6949. Prime factorization of 90337 in exponential form is:

90337 = 13¹ × 6949¹

Step-3: Factors of 90324

List of positive integer factors of 90324 that divides 90324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 193, 234, 386, 468, 579, 772, 1158, 1737, 2316, 2509, 3474, 5018, 6948, 7527, 10036, 15054, 22581, 30108, 45162

Step-4: Factors of 90337

List of positive integer factors of 90337 that divides 90324 without a remainder.

1, 13, 6949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90324 and 90337. The biggest common factor number is the GCF number.
So the greatest common factor 90324 and 90337 is 13.

Also check out the Least Common Multiple of 90324 and 90337