What is the Greatest Common Factor of 9180 and 9198?

Greatest common factor (GCF) of 9180 and 9198 is 18.

GCF(9180,9198) = 18

We will now calculate the prime factors of 9180 and 9198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9180 and 9198.

How to find the GCF of 9180 and 9198?

We will first find the prime factorization of 9180 and 9198. After we will calculate the factors of 9180 and 9198 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 9198

Prime factors of 9198 are 2, 3, 7, 73. Prime factorization of 9198 in exponential form is:

9198 = 2¹ × 3² × 7¹ × 73¹

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 9198

List of positive integer factors of 9198 that divides 9180 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 73, 126, 146, 219, 438, 511, 657, 1022, 1314, 1533, 3066, 4599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9180 and 9198. The biggest common factor number is the GCF number.
So the greatest common factor 9180 and 9198 is 18.

Also check out the Least Common Multiple of 9180 and 9198