What is the Greatest Common Factor of 81270 and 81275?

Greatest common factor (GCF) of 81270 and 81275 is 5.

GCF(81270,81275) = 5

We will now calculate the prime factors of 81270 and 81275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81270 and 81275.

How to find the GCF of 81270 and 81275?

We will first find the prime factorization of 81270 and 81275. After we will calculate the factors of 81270 and 81275 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 81275

Prime factors of 81275 are 5, 3251. Prime factorization of 81275 in exponential form is:

81275 = 5² × 3251¹

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 81275

List of positive integer factors of 81275 that divides 81270 without a remainder.

1, 5, 25, 3251, 16255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81270 and 81275. The biggest common factor number is the GCF number.
So the greatest common factor 81270 and 81275 is 5.

Also check out the Least Common Multiple of 81270 and 81275