What is the Greatest Common Factor of 81180 and 81190?

Greatest common factor (GCF) of 81180 and 81190 is 10.

GCF(81180,81190) = 10

We will now calculate the prime factors of 81180 and 81190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81180 and 81190.

How to find the GCF of 81180 and 81190?

We will first find the prime factorization of 81180 and 81190. After we will calculate the factors of 81180 and 81190 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 81190

Prime factors of 81190 are 2, 5, 23, 353. Prime factorization of 81190 in exponential form is:

81190 = 2¹ × 5¹ × 23¹ × 353¹

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 81190

List of positive integer factors of 81190 that divides 81180 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 353, 706, 1765, 3530, 8119, 16238, 40595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81180 and 81190. The biggest common factor number is the GCF number.
So the greatest common factor 81180 and 81190 is 10.

Also check out the Least Common Multiple of 81180 and 81190