What is the Greatest Common Factor of 81270 and 81274?

Greatest common factor (GCF) of 81270 and 81274 is 2.

GCF(81270,81274) = 2

We will now calculate the prime factors of 81270 and 81274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81270 and 81274.

How to find the GCF of 81270 and 81274?

We will first find the prime factorization of 81270 and 81274. After we will calculate the factors of 81270 and 81274 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 81274

Prime factors of 81274 are 2, 40637. Prime factorization of 81274 in exponential form is:

81274 = 2¹ × 40637¹

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 81274

List of positive integer factors of 81274 that divides 81270 without a remainder.

1, 2, 40637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81270 and 81274. The biggest common factor number is the GCF number.
So the greatest common factor 81270 and 81274 is 2.

Also check out the Least Common Multiple of 81270 and 81274