What is the Greatest Common Factor of 81180 and 81191?

Greatest common factor (GCF) of 81180 and 81191 is 11.

GCF(81180,81191) = 11

We will now calculate the prime factors of 81180 and 81191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81180 and 81191.

How to find the GCF of 81180 and 81191?

We will first find the prime factorization of 81180 and 81191. After we will calculate the factors of 81180 and 81191 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 81191

Prime factors of 81191 are 11, 61. Prime factorization of 81191 in exponential form is:

81191 = 11³ × 61¹

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 81191

List of positive integer factors of 81191 that divides 81180 without a remainder.

1, 11, 61, 121, 671, 1331, 7381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81180 and 81191. The biggest common factor number is the GCF number.
So the greatest common factor 81180 and 81191 is 11.

Also check out the Least Common Multiple of 81180 and 81191