What is the Greatest Common Factor of 81180 and 81198?

Greatest common factor (GCF) of 81180 and 81198 is 18.

GCF(81180,81198) = 18

We will now calculate the prime factors of 81180 and 81198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81180 and 81198.

How to find the GCF of 81180 and 81198?

We will first find the prime factorization of 81180 and 81198. After we will calculate the factors of 81180 and 81198 and find the biggest common factor number .

Step-1: Prime Factorization of 81180

Prime factors of 81180 are 2, 3, 5, 11, 41. Prime factorization of 81180 in exponential form is:

81180 = 2² × 3² × 5¹ × 11¹ × 41¹

Step-2: Prime Factorization of 81198

Prime factors of 81198 are 2, 3, 13, 347. Prime factorization of 81198 in exponential form is:

81198 = 2¹ × 3² × 13¹ × 347¹

Step-3: Factors of 81180

List of positive integer factors of 81180 that divides 81180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 41, 44, 45, 55, 60, 66, 82, 90, 99, 110, 123, 132, 164, 165, 180, 198, 205, 220, 246, 330, 369, 396, 410, 451, 492, 495, 615, 660, 738, 820, 902, 990, 1230, 1353, 1476, 1804, 1845, 1980, 2255, 2460, 2706, 3690, 4059, 4510, 5412, 6765, 7380, 8118, 9020, 13530, 16236, 20295, 27060, 40590

Step-4: Factors of 81198

List of positive integer factors of 81198 that divides 81180 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 347, 694, 1041, 2082, 3123, 4511, 6246, 9022, 13533, 27066, 40599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81180 and 81198. The biggest common factor number is the GCF number.
So the greatest common factor 81180 and 81198 is 18.

Also check out the Least Common Multiple of 81180 and 81198