What is the Greatest Common Factor of 81270 and 81284?

Greatest common factor (GCF) of 81270 and 81284 is 14.

GCF(81270,81284) = 14

We will now calculate the prime factors of 81270 and 81284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81270 and 81284.

How to find the GCF of 81270 and 81284?

We will first find the prime factorization of 81270 and 81284. After we will calculate the factors of 81270 and 81284 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 81284

Prime factors of 81284 are 2, 7, 2903. Prime factorization of 81284 in exponential form is:

81284 = 2² × 7¹ × 2903¹

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 81284

List of positive integer factors of 81284 that divides 81270 without a remainder.

1, 2, 4, 7, 14, 28, 2903, 5806, 11612, 20321, 40642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81270 and 81284. The biggest common factor number is the GCF number.
So the greatest common factor 81270 and 81284 is 14.

Also check out the Least Common Multiple of 81270 and 81284