What is the Greatest Common Factor of 90285 and 90298?

Greatest common factor (GCF) of 90285 and 90298 is 13.

GCF(90285,90298) = 13

We will now calculate the prime factors of 90285 and 90298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90285 and 90298.

How to find the GCF of 90285 and 90298?

We will first find the prime factorization of 90285 and 90298. After we will calculate the factors of 90285 and 90298 and find the biggest common factor number .

Step-1: Prime Factorization of 90285

Prime factors of 90285 are 3, 5, 13, 463. Prime factorization of 90285 in exponential form is:

90285 = 3¹ × 5¹ × 13¹ × 463¹

Step-2: Prime Factorization of 90298

Prime factors of 90298 are 2, 13, 23, 151. Prime factorization of 90298 in exponential form is:

90298 = 2¹ × 13¹ × 23¹ × 151¹

Step-3: Factors of 90285

List of positive integer factors of 90285 that divides 90285 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 463, 1389, 2315, 6019, 6945, 18057, 30095

Step-4: Factors of 90298

List of positive integer factors of 90298 that divides 90285 without a remainder.

1, 2, 13, 23, 26, 46, 151, 299, 302, 598, 1963, 3473, 3926, 6946, 45149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90285 and 90298. The biggest common factor number is the GCF number.
So the greatest common factor 90285 and 90298 is 13.

Also check out the Least Common Multiple of 90285 and 90298