What is the Greatest Common Factor of 45165 and 45177?

Greatest common factor (GCF) of 45165 and 45177 is 3.

GCF(45165,45177) = 3

We will now calculate the prime factors of 45165 and 45177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45165 and 45177.

How to find the GCF of 45165 and 45177?

We will first find the prime factorization of 45165 and 45177. After we will calculate the factors of 45165 and 45177 and find the biggest common factor number .

Step-1: Prime Factorization of 45165

Prime factors of 45165 are 3, 5, 3011. Prime factorization of 45165 in exponential form is:

45165 = 3¹ × 5¹ × 3011¹

Step-2: Prime Factorization of 45177

Prime factors of 45177 are 3, 11, 37. Prime factorization of 45177 in exponential form is:

45177 = 3¹ × 11¹ × 37²

Step-3: Factors of 45165

List of positive integer factors of 45165 that divides 45165 without a remainder.

1, 3, 5, 15, 3011, 9033, 15055

Step-4: Factors of 45177

List of positive integer factors of 45177 that divides 45165 without a remainder.

1, 3, 11, 33, 37, 111, 407, 1221, 1369, 4107, 15059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45165 and 45177. The biggest common factor number is the GCF number.
So the greatest common factor 45165 and 45177 is 3.

Also check out the Least Common Multiple of 45165 and 45177