What is the Greatest Common Factor of 81275 and 81280?

Greatest common factor (GCF) of 81275 and 81280 is 5.

GCF(81275,81280) = 5

We will now calculate the prime factors of 81275 and 81280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81275 and 81280.

How to find the GCF of 81275 and 81280?

We will first find the prime factorization of 81275 and 81280. After we will calculate the factors of 81275 and 81280 and find the biggest common factor number .

Step-1: Prime Factorization of 81275

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

81275 = 5² × 3251¹

Step-2: Prime Factorization of 81280

Prime factors of 81280 are 2, 5, 127. Prime factorization of 81280 in exponential form is:

81280 = 2⁷ × 5¹ × 127¹

Step-3: Factors of 81275

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

1, 5, 25, 3251, 16255

Step-4: Factors of 81280

List of positive integer factors of 81280 that divides 81275 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 127, 128, 160, 254, 320, 508, 635, 640, 1016, 1270, 2032, 2540, 4064, 5080, 8128, 10160, 16256, 20320, 40640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81275 and 81280. The biggest common factor number is the GCF number.
So the greatest common factor 81275 and 81280 is 5.

Also check out the Least Common Multiple of 81275 and 81280