What is the Greatest Common Factor of 90135 and 90144?

Greatest common factor (GCF) of 90135 and 90144 is 9.

GCF(90135,90144) = 9

We will now calculate the prime factors of 90135 and 90144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90135 and 90144.

How to find the GCF of 90135 and 90144?

We will first find the prime factorization of 90135 and 90144. After we will calculate the factors of 90135 and 90144 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 90144

Prime factors of 90144 are 2, 3, 313. Prime factorization of 90144 in exponential form is:

90144 = 2⁵ × 3² × 313¹

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 90144

List of positive integer factors of 90144 that divides 90135 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 313, 626, 939, 1252, 1878, 2504, 2817, 3756, 5008, 5634, 7512, 10016, 11268, 15024, 22536, 30048, 45072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90135 and 90144. The biggest common factor number is the GCF number.
So the greatest common factor 90135 and 90144 is 9.

Also check out the Least Common Multiple of 90135 and 90144