What is the Greatest Common Factor of 45075 and 45081?

Greatest common factor (GCF) of 45075 and 45081 is 3.

GCF(45075,45081) = 3

We will now calculate the prime factors of 45075 and 45081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45075 and 45081.

How to find the GCF of 45075 and 45081?

We will first find the prime factorization of 45075 and 45081. After we will calculate the factors of 45075 and 45081 and find the biggest common factor number .

Step-1: Prime Factorization of 45075

Prime factors of 45075 are 3, 5, 601. Prime factorization of 45075 in exponential form is:

45075 = 3¹ × 5² × 601¹

Step-2: Prime Factorization of 45081

Prime factors of 45081 are 3, 5009. Prime factorization of 45081 in exponential form is:

45081 = 3² × 5009¹

Step-3: Factors of 45075

List of positive integer factors of 45075 that divides 45075 without a remainder.

1, 3, 5, 15, 25, 75, 601, 1803, 3005, 9015, 15025

Step-4: Factors of 45081

List of positive integer factors of 45081 that divides 45075 without a remainder.

1, 3, 9, 5009, 15027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45075 and 45081. The biggest common factor number is the GCF number.
So the greatest common factor 45075 and 45081 is 3.

Also check out the Least Common Multiple of 45075 and 45081