What is the Greatest Common Factor of 90135 and 90147?

Greatest common factor (GCF) of 90135 and 90147 is 3.

GCF(90135,90147) = 3

We will now calculate the prime factors of 90135 and 90147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90135 and 90147.

How to find the GCF of 90135 and 90147?

We will first find the prime factorization of 90135 and 90147. After we will calculate the factors of 90135 and 90147 and find the biggest common factor number .

Step-1: Prime Factorization of 90135

Prime factors of 90135 are 3, 5, 2003. Prime factorization of 90135 in exponential form is:

90135 = 3² × 5¹ × 2003¹

Step-2: Prime Factorization of 90147

Prime factors of 90147 are 3, 151, 199. Prime factorization of 90147 in exponential form is:

90147 = 3¹ × 151¹ × 199¹

Step-3: Factors of 90135

List of positive integer factors of 90135 that divides 90135 without a remainder.

1, 3, 5, 9, 15, 45, 2003, 6009, 10015, 18027, 30045

Step-4: Factors of 90147

List of positive integer factors of 90147 that divides 90135 without a remainder.

1, 3, 151, 199, 453, 597, 30049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90135 and 90147. The biggest common factor number is the GCF number.
So the greatest common factor 90135 and 90147 is 3.

Also check out the Least Common Multiple of 90135 and 90147