What is the Greatest Common Factor of 90267 and 90285?

Greatest common factor (GCF) of 90267 and 90285 is 3.

GCF(90267,90285) = 3

We will now calculate the prime factors of 90267 and 90285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90267 and 90285.

How to find the GCF of 90267 and 90285?

We will first find the prime factorization of 90267 and 90285. After we will calculate the factors of 90267 and 90285 and find the biggest common factor number .

Step-1: Prime Factorization of 90267

Prime factors of 90267 are 3, 30089. Prime factorization of 90267 in exponential form is:

90267 = 3¹ × 30089¹

Step-2: 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-3: Factors of 90267

List of positive integer factors of 90267 that divides 90267 without a remainder.

1, 3, 30089

Step-4: Factors of 90285

List of positive integer factors of 90285 that divides 90267 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90267 and 90285. The biggest common factor number is the GCF number.
So the greatest common factor 90267 and 90285 is 3.

Also check out the Least Common Multiple of 90267 and 90285