What is the Greatest Common Factor of 38275 and 38286?

Greatest common factor (GCF) of 38275 and 38286 is 1.

GCF(38275,38286) = 1

We will now calculate the prime factors of 38275 and 38286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38275 and 38286.

How to find the GCF of 38275 and 38286?

We will first find the prime factorization of 38275 and 38286. After we will calculate the factors of 38275 and 38286 and find the biggest common factor number .

Step-1: Prime Factorization of 38275

Prime factors of 38275 are 5, 1531. Prime factorization of 38275 in exponential form is:

38275 = 5² × 1531¹

Step-2: Prime Factorization of 38286

Prime factors of 38286 are 2, 3, 709. Prime factorization of 38286 in exponential form is:

38286 = 2¹ × 3³ × 709¹

Step-3: Factors of 38275

List of positive integer factors of 38275 that divides 38275 without a remainder.

1, 5, 25, 1531, 7655

Step-4: Factors of 38286

List of positive integer factors of 38286 that divides 38275 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 709, 1418, 2127, 4254, 6381, 12762, 19143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38275 and 38286. The biggest common factor number is the GCF number.
So the greatest common factor 38275 and 38286 is 1.

Also check out the Least Common Multiple of 38275 and 38286