What is the Greatest Common Factor of 9180 and 9199?

Greatest common factor (GCF) of 9180 and 9199 is 1.

GCF(9180,9199) = 1

We will now calculate the prime factors of 9180 and 9199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9180 and 9199.

How to find the GCF of 9180 and 9199?

We will first find the prime factorization of 9180 and 9199. After we will calculate the factors of 9180 and 9199 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 9199

Prime factors of 9199 are 9199. Prime factorization of 9199 in exponential form is:

9199 = 9199¹

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 9199

List of positive integer factors of 9199 that divides 9180 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9180 and 9199. The biggest common factor number is the GCF number.
So the greatest common factor 9180 and 9199 is 1.

Also check out the Least Common Multiple of 9180 and 9199