What is the Greatest Common Factor of 45009 and 45015?

Greatest common factor (GCF) of 45009 and 45015 is 3.

GCF(45009,45015) = 3

We will now calculate the prime factors of 45009 and 45015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45009 and 45015.

How to find the GCF of 45009 and 45015?

We will first find the prime factorization of 45009 and 45015. After we will calculate the factors of 45009 and 45015 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 45015

Prime factors of 45015 are 3, 5, 3001. Prime factorization of 45015 in exponential form is:

45015 = 3¹ × 5¹ × 3001¹

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 45015

List of positive integer factors of 45015 that divides 45009 without a remainder.

1, 3, 5, 15, 3001, 9003, 15005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45009 and 45015. The biggest common factor number is the GCF number.
So the greatest common factor 45009 and 45015 is 3.

Also check out the Least Common Multiple of 45009 and 45015