What is the Greatest Common Factor of 38218 and 38237?

Greatest common factor (GCF) of 38218 and 38237 is 1.

GCF(38218,38237) = 1

We will now calculate the prime factors of 38218 and 38237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38218 and 38237.

How to find the GCF of 38218 and 38237?

We will first find the prime factorization of 38218 and 38237. After we will calculate the factors of 38218 and 38237 and find the biggest common factor number .

Step-1: Prime Factorization of 38218

Prime factors of 38218 are 2, 97, 197. Prime factorization of 38218 in exponential form is:

38218 = 2¹ × 97¹ × 197¹

Step-2: Prime Factorization of 38237

Prime factors of 38237 are 38237. Prime factorization of 38237 in exponential form is:

38237 = 38237¹

Step-3: Factors of 38218

List of positive integer factors of 38218 that divides 38218 without a remainder.

1, 2, 97, 194, 197, 394, 19109

Step-4: Factors of 38237

List of positive integer factors of 38237 that divides 38218 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38218 and 38237. The biggest common factor number is the GCF number.
So the greatest common factor 38218 and 38237 is 1.

Also check out the Least Common Multiple of 38218 and 38237