What is the Greatest Common Factor of 81180 and 81197?

Greatest common factor (GCF) of 81180 and 81197 is 1.

GCF(81180,81197) = 1

We will now calculate the prime factors of 81180 and 81197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81180 and 81197.

How to find the GCF of 81180 and 81197?

We will first find the prime factorization of 81180 and 81197. After we will calculate the factors of 81180 and 81197 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 81197

Prime factors of 81197 are 81197. Prime factorization of 81197 in exponential form is:

81197 = 81197¹

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 81197

List of positive integer factors of 81197 that divides 81180 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81180 and 81197. The biggest common factor number is the GCF number.
So the greatest common factor 81180 and 81197 is 1.

Also check out the Least Common Multiple of 81180 and 81197