What is the Greatest Common Factor of 81161 and 81180?

Greatest common factor (GCF) of 81161 and 81180 is 1.

GCF(81161,81180) = 1

We will now calculate the prime factors of 81161 and 81180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81161 and 81180.

How to find the GCF of 81161 and 81180?

We will first find the prime factorization of 81161 and 81180. After we will calculate the factors of 81161 and 81180 and find the biggest common factor number .

Step-1: Prime Factorization of 81161

Prime factors of 81161 are 277, 293. Prime factorization of 81161 in exponential form is:

81161 = 277¹ × 293¹

Step-2: 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-3: Factors of 81161

List of positive integer factors of 81161 that divides 81161 without a remainder.

1, 277, 293

Step-4: Factors of 81180

List of positive integer factors of 81180 that divides 81161 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81161 and 81180. The biggest common factor number is the GCF number.
So the greatest common factor 81161 and 81180 is 1.

Also check out the Least Common Multiple of 81161 and 81180