What is the Greatest Common Factor of 9045 and 9054?

Greatest common factor (GCF) of 9045 and 9054 is 9.

GCF(9045,9054) = 9

We will now calculate the prime factors of 9045 and 9054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9045 and 9054.

How to find the GCF of 9045 and 9054?

We will first find the prime factorization of 9045 and 9054. After we will calculate the factors of 9045 and 9054 and find the biggest common factor number .

Step-1: Prime Factorization of 9045

Prime factors of 9045 are 3, 5, 67. Prime factorization of 9045 in exponential form is:

9045 = 3³ × 5¹ × 67¹

Step-2: 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-3: Factors of 9045

List of positive integer factors of 9045 that divides 9045 without a remainder.

1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015

Step-4: Factors of 9054

List of positive integer factors of 9054 that divides 9045 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9045 and 9054. The biggest common factor number is the GCF number.
So the greatest common factor 9045 and 9054 is 9.

Also check out the Least Common Multiple of 9045 and 9054