What is the Greatest Common Factor of 38225 and 38231?

Greatest common factor (GCF) of 38225 and 38231 is 1.

GCF(38225,38231) = 1

We will now calculate the prime factors of 38225 and 38231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38225 and 38231.

How to find the GCF of 38225 and 38231?

We will first find the prime factorization of 38225 and 38231. After we will calculate the factors of 38225 and 38231 and find the biggest common factor number .

Step-1: Prime Factorization of 38225

Prime factors of 38225 are 5, 11, 139. Prime factorization of 38225 in exponential form is:

38225 = 5² × 11¹ × 139¹

Step-2: Prime Factorization of 38231

Prime factors of 38231 are 38231. Prime factorization of 38231 in exponential form is:

38231 = 38231¹

Step-3: Factors of 38225

List of positive integer factors of 38225 that divides 38225 without a remainder.

1, 5, 11, 25, 55, 139, 275, 695, 1529, 3475, 7645

Step-4: Factors of 38231

List of positive integer factors of 38231 that divides 38225 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38225 and 38231. The biggest common factor number is the GCF number.
So the greatest common factor 38225 and 38231 is 1.

Also check out the Least Common Multiple of 38225 and 38231