What is the Greatest Common Factor of 45015 and 45027?

Greatest common factor (GCF) of 45015 and 45027 is 3.

GCF(45015,45027) = 3

We will now calculate the prime factors of 45015 and 45027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45015 and 45027.

How to find the GCF of 45015 and 45027?

We will first find the prime factorization of 45015 and 45027. After we will calculate the factors of 45015 and 45027 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45027

Prime factors of 45027 are 3, 5003. Prime factorization of 45027 in exponential form is:

45027 = 3² × 5003¹

Step-3: Factors of 45015

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

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

Step-4: Factors of 45027

List of positive integer factors of 45027 that divides 45015 without a remainder.

1, 3, 9, 5003, 15009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45015 and 45027. The biggest common factor number is the GCF number.
So the greatest common factor 45015 and 45027 is 3.

Also check out the Least Common Multiple of 45015 and 45027