What is the Greatest Common Factor of 90489 and 90495?

Greatest common factor (GCF) of 90489 and 90495 is 3.

GCF(90489,90495) = 3

We will now calculate the prime factors of 90489 and 90495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90489 and 90495.

How to find the GCF of 90489 and 90495?

We will first find the prime factorization of 90489 and 90495. After we will calculate the factors of 90489 and 90495 and find the biggest common factor number .

Step-1: Prime Factorization of 90489

Prime factors of 90489 are 3, 7, 31, 139. Prime factorization of 90489 in exponential form is:

90489 = 3¹ × 7¹ × 31¹ × 139¹

Step-2: Prime Factorization of 90495

Prime factors of 90495 are 3, 5, 2011. Prime factorization of 90495 in exponential form is:

90495 = 3² × 5¹ × 2011¹

Step-3: Factors of 90489

List of positive integer factors of 90489 that divides 90489 without a remainder.

1, 3, 7, 21, 31, 93, 139, 217, 417, 651, 973, 2919, 4309, 12927, 30163

Step-4: Factors of 90495

List of positive integer factors of 90495 that divides 90489 without a remainder.

1, 3, 5, 9, 15, 45, 2011, 6033, 10055, 18099, 30165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90489 and 90495. The biggest common factor number is the GCF number.
So the greatest common factor 90489 and 90495 is 3.

Also check out the Least Common Multiple of 90489 and 90495