What is the Greatest Common Factor of 81167 and 81180?

Greatest common factor (GCF) of 81167 and 81180 is 1.

GCF(81167,81180) = 1

We will now calculate the prime factors of 81167 and 81180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81167 and 81180.

How to find the GCF of 81167 and 81180?

We will first find the prime factorization of 81167 and 81180. After we will calculate the factors of 81167 and 81180 and find the biggest common factor number .

Step-1: Prime Factorization of 81167

Prime factors of 81167 are 23, 3529. Prime factorization of 81167 in exponential form is:

81167 = 23¹ × 3529¹

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 81167

List of positive integer factors of 81167 that divides 81167 without a remainder.

1, 23, 3529

Step-4: Factors of 81180

List of positive integer factors of 81180 that divides 81167 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 81167 and 81180. The biggest common factor number is the GCF number.
So the greatest common factor 81167 and 81180 is 1.

Also check out the Least Common Multiple of 81167 and 81180