What is the Greatest Common Factor of 38237 and 38257?

Greatest common factor (GCF) of 38237 and 38257 is 1.

GCF(38237,38257) = 1

We will now calculate the prime factors of 38237 and 38257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38237 and 38257.

How to find the GCF of 38237 and 38257?

We will first find the prime factorization of 38237 and 38257. After we will calculate the factors of 38237 and 38257 and find the biggest common factor number .

Step-1: Prime Factorization of 38237

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

38237 = 38237¹

Step-2: Prime Factorization of 38257

Prime factors of 38257 are 67, 571. Prime factorization of 38257 in exponential form is:

38257 = 67¹ × 571¹

Step-3: Factors of 38237

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

Step-4: Factors of 38257

List of positive integer factors of 38257 that divides 38237 without a remainder.

1, 67, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38237 and 38257. The biggest common factor number is the GCF number.
So the greatest common factor 38237 and 38257 is 1.

Also check out the Least Common Multiple of 38237 and 38257