What is the Greatest Common Factor of 90285 and 90294?

Greatest common factor (GCF) of 90285 and 90294 is 3.

GCF(90285,90294) = 3

We will now calculate the prime factors of 90285 and 90294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90285 and 90294.

How to find the GCF of 90285 and 90294?

We will first find the prime factorization of 90285 and 90294. After we will calculate the factors of 90285 and 90294 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 90294

Prime factors of 90294 are 2, 3, 101, 149. Prime factorization of 90294 in exponential form is:

90294 = 2¹ × 3¹ × 101¹ × 149¹

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 90294

List of positive integer factors of 90294 that divides 90285 without a remainder.

1, 2, 3, 6, 101, 149, 202, 298, 303, 447, 606, 894, 15049, 30098, 45147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90285 and 90294. The biggest common factor number is the GCF number.
So the greatest common factor 90285 and 90294 is 3.

Also check out the Least Common Multiple of 90285 and 90294