What is the Greatest Common Factor of 9180 and 9187?

Greatest common factor (GCF) of 9180 and 9187 is 1.

GCF(9180,9187) = 1

We will now calculate the prime factors of 9180 and 9187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9180 and 9187.

How to find the GCF of 9180 and 9187?

We will first find the prime factorization of 9180 and 9187. After we will calculate the factors of 9180 and 9187 and find the biggest common factor number .

Step-1: Prime Factorization of 9180

Prime factors of 9180 are 2, 3, 5, 17. Prime factorization of 9180 in exponential form is:

9180 = 2² × 3³ × 5¹ × 17¹

Step-2: Prime Factorization of 9187

Prime factors of 9187 are 9187. Prime factorization of 9187 in exponential form is:

9187 = 9187¹

Step-3: Factors of 9180

List of positive integer factors of 9180 that divides 9180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 85, 90, 102, 108, 135, 153, 170, 180, 204, 255, 270, 306, 340, 459, 510, 540, 612, 765, 918, 1020, 1530, 1836, 2295, 3060, 4590

Step-4: Factors of 9187

List of positive integer factors of 9187 that divides 9180 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9180 and 9187. The biggest common factor number is the GCF number.
So the greatest common factor 9180 and 9187 is 1.

Also check out the Least Common Multiple of 9180 and 9187