What is the Greatest Common Factor of 81270 and 81288?

Greatest common factor (GCF) of 81270 and 81288 is 18.

GCF(81270,81288) = 18

We will now calculate the prime factors of 81270 and 81288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81270 and 81288.

How to find the GCF of 81270 and 81288?

We will first find the prime factorization of 81270 and 81288. After we will calculate the factors of 81270 and 81288 and find the biggest common factor number .

Step-1: Prime Factorization of 81270

Prime factors of 81270 are 2, 3, 5, 7, 43. Prime factorization of 81270 in exponential form is:

81270 = 2¹ × 3³ × 5¹ × 7¹ × 43¹

Step-2: Prime Factorization of 81288

Prime factors of 81288 are 2, 3, 1129. Prime factorization of 81288 in exponential form is:

81288 = 2³ × 3² × 1129¹

Step-3: Factors of 81270

List of positive integer factors of 81270 that divides 81270 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 43, 45, 54, 63, 70, 86, 90, 105, 126, 129, 135, 189, 210, 215, 258, 270, 301, 315, 378, 387, 430, 602, 630, 645, 774, 903, 945, 1161, 1290, 1505, 1806, 1890, 1935, 2322, 2709, 3010, 3870, 4515, 5418, 5805, 8127, 9030, 11610, 13545, 16254, 27090, 40635

Step-4: Factors of 81288

List of positive integer factors of 81288 that divides 81270 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1129, 2258, 3387, 4516, 6774, 9032, 10161, 13548, 20322, 27096, 40644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81270 and 81288. The biggest common factor number is the GCF number.
So the greatest common factor 81270 and 81288 is 18.

Also check out the Least Common Multiple of 81270 and 81288