What is the Greatest Common Factor of 81264 and 81270?

Greatest common factor (GCF) of 81264 and 81270 is 6.

GCF(81264,81270) = 6

We will now calculate the prime factors of 81264 and 81270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81264 and 81270.

How to find the GCF of 81264 and 81270?

We will first find the prime factorization of 81264 and 81270. After we will calculate the factors of 81264 and 81270 and find the biggest common factor number .

Step-1: Prime Factorization of 81264

Prime factors of 81264 are 2, 3, 1693. Prime factorization of 81264 in exponential form is:

81264 = 2⁴ × 3¹ × 1693¹

Step-2: 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-3: Factors of 81264

List of positive integer factors of 81264 that divides 81264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1693, 3386, 5079, 6772, 10158, 13544, 20316, 27088, 40632

Step-4: Factors of 81270

List of positive integer factors of 81270 that divides 81264 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81264 and 81270. The biggest common factor number is the GCF number.
So the greatest common factor 81264 and 81270 is 6.

Also check out the Least Common Multiple of 81264 and 81270