What is the Greatest Common Factor of 9054 and 9060?

Greatest common factor (GCF) of 9054 and 9060 is 6.

GCF(9054,9060) = 6

We will now calculate the prime factors of 9054 and 9060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9054 and 9060.

How to find the GCF of 9054 and 9060?

We will first find the prime factorization of 9054 and 9060. After we will calculate the factors of 9054 and 9060 and find the biggest common factor number .

Step-1: Prime Factorization of 9054

Prime factors of 9054 are 2, 3, 503. Prime factorization of 9054 in exponential form is:

9054 = 2¹ × 3² × 503¹

Step-2: Prime Factorization of 9060

Prime factors of 9060 are 2, 3, 5, 151. Prime factorization of 9060 in exponential form is:

9060 = 2² × 3¹ × 5¹ × 151¹

Step-3: Factors of 9054

List of positive integer factors of 9054 that divides 9054 without a remainder.

1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527

Step-4: Factors of 9060

List of positive integer factors of 9060 that divides 9054 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9054 and 9060. The biggest common factor number is the GCF number.
So the greatest common factor 9054 and 9060 is 6.

Also check out the Least Common Multiple of 9054 and 9060