What is the Greatest Common Factor of 81160 and 81180?

Greatest common factor (GCF) of 81160 and 81180 is 20.

GCF(81160,81180) = 20

We will now calculate the prime factors of 81160 and 81180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81160 and 81180.

How to find the GCF of 81160 and 81180?

We will first find the prime factorization of 81160 and 81180. After we will calculate the factors of 81160 and 81180 and find the biggest common factor number .

Step-1: Prime Factorization of 81160

Prime factors of 81160 are 2, 5, 2029. Prime factorization of 81160 in exponential form is:

81160 = 2³ × 5¹ × 2029¹

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 81160

List of positive integer factors of 81160 that divides 81160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2029, 4058, 8116, 10145, 16232, 20290, 40580

Step-4: Factors of 81180

List of positive integer factors of 81180 that divides 81160 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 81160 and 81180. The biggest common factor number is the GCF number.
So the greatest common factor 81160 and 81180 is 20.

Also check out the Least Common Multiple of 81160 and 81180