What is the Greatest Common Factor of 81180 and 81196?

Greatest common factor (GCF) of 81180 and 81196 is 4.

GCF(81180,81196) = 4

We will now calculate the prime factors of 81180 and 81196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81180 and 81196.

How to find the GCF of 81180 and 81196?

We will first find the prime factorization of 81180 and 81196. After we will calculate the factors of 81180 and 81196 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 81196

Prime factors of 81196 are 2, 53, 383. Prime factorization of 81196 in exponential form is:

81196 = 2² × 53¹ × 383¹

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 81196

List of positive integer factors of 81196 that divides 81180 without a remainder.

1, 2, 4, 53, 106, 212, 383, 766, 1532, 20299, 40598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81180 and 81196. The biggest common factor number is the GCF number.
So the greatest common factor 81180 and 81196 is 4.

Also check out the Least Common Multiple of 81180 and 81196