What is the Greatest Common Factor of 45009 and 45018?

Greatest common factor (GCF) of 45009 and 45018 is 9.

GCF(45009,45018) = 9

We will now calculate the prime factors of 45009 and 45018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45009 and 45018.

How to find the GCF of 45009 and 45018?

We will first find the prime factorization of 45009 and 45018. After we will calculate the factors of 45009 and 45018 and find the biggest common factor number .

Step-1: Prime Factorization of 45009

Prime factors of 45009 are 3, 1667. Prime factorization of 45009 in exponential form is:

45009 = 3³ × 1667¹

Step-2: Prime Factorization of 45018

Prime factors of 45018 are 2, 3, 41, 61. Prime factorization of 45018 in exponential form is:

45018 = 2¹ × 3² × 41¹ × 61¹

Step-3: Factors of 45009

List of positive integer factors of 45009 that divides 45009 without a remainder.

1, 3, 9, 27, 1667, 5001, 15003

Step-4: Factors of 45018

List of positive integer factors of 45018 that divides 45009 without a remainder.

1, 2, 3, 6, 9, 18, 41, 61, 82, 122, 123, 183, 246, 366, 369, 549, 738, 1098, 2501, 5002, 7503, 15006, 22509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45009 and 45018. The biggest common factor number is the GCF number.
So the greatest common factor 45009 and 45018 is 9.

Also check out the Least Common Multiple of 45009 and 45018