What is the Greatest Common Factor of 38285 and 38289?

Greatest common factor (GCF) of 38285 and 38289 is 1.

GCF(38285,38289) = 1

We will now calculate the prime factors of 38285 and 38289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38285 and 38289.

How to find the GCF of 38285 and 38289?

We will first find the prime factorization of 38285 and 38289. After we will calculate the factors of 38285 and 38289 and find the biggest common factor number .

Step-1: Prime Factorization of 38285

Prime factors of 38285 are 5, 13, 19, 31. Prime factorization of 38285 in exponential form is:

38285 = 5¹ × 13¹ × 19¹ × 31¹

Step-2: Prime Factorization of 38289

Prime factors of 38289 are 3, 12763. Prime factorization of 38289 in exponential form is:

38289 = 3¹ × 12763¹

Step-3: Factors of 38285

List of positive integer factors of 38285 that divides 38285 without a remainder.

1, 5, 13, 19, 31, 65, 95, 155, 247, 403, 589, 1235, 2015, 2945, 7657

Step-4: Factors of 38289

List of positive integer factors of 38289 that divides 38285 without a remainder.

1, 3, 12763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38285 and 38289. The biggest common factor number is the GCF number.
So the greatest common factor 38285 and 38289 is 1.

Also check out the Least Common Multiple of 38285 and 38289