What is the Greatest Common Factor of 45180 and 45187?

Greatest common factor (GCF) of 45180 and 45187 is 1.

GCF(45180,45187) = 1

We will now calculate the prime factors of 45180 and 45187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45180 and 45187.

How to find the GCF of 45180 and 45187?

We will first find the prime factorization of 45180 and 45187. After we will calculate the factors of 45180 and 45187 and find the biggest common factor number .

Step-1: Prime Factorization of 45180

Prime factors of 45180 are 2, 3, 5, 251. Prime factorization of 45180 in exponential form is:

45180 = 2² × 3² × 5¹ × 251¹

Step-2: Prime Factorization of 45187

Prime factors of 45187 are 73, 619. Prime factorization of 45187 in exponential form is:

45187 = 73¹ × 619¹

Step-3: Factors of 45180

List of positive integer factors of 45180 that divides 45180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 251, 502, 753, 1004, 1255, 1506, 2259, 2510, 3012, 3765, 4518, 5020, 7530, 9036, 11295, 15060, 22590

Step-4: Factors of 45187

List of positive integer factors of 45187 that divides 45180 without a remainder.

1, 73, 619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45180 and 45187. The biggest common factor number is the GCF number.
So the greatest common factor 45180 and 45187 is 1.

Also check out the Least Common Multiple of 45180 and 45187