What is the Greatest Common Factor of 45159 and 45177?

Greatest common factor (GCF) of 45159 and 45177 is 3.

GCF(45159,45177) = 3

We will now calculate the prime factors of 45159 and 45177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45159 and 45177.

How to find the GCF of 45159 and 45177?

We will first find the prime factorization of 45159 and 45177. After we will calculate the factors of 45159 and 45177 and find the biggest common factor number .

Step-1: Prime Factorization of 45159

Prime factors of 45159 are 3, 15053. Prime factorization of 45159 in exponential form is:

45159 = 3¹ × 15053¹

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 45159

List of positive integer factors of 45159 that divides 45159 without a remainder.

1, 3, 15053

Step-4: Factors of 45177

List of positive integer factors of 45177 that divides 45159 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 45159 and 45177. The biggest common factor number is the GCF number.
So the greatest common factor 45159 and 45177 is 3.

Also check out the Least Common Multiple of 45159 and 45177