What is the Greatest Common Factor of 38207 and 38221?

Greatest common factor (GCF) of 38207 and 38221 is 1.

GCF(38207,38221) = 1

We will now calculate the prime factors of 38207 and 38221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38207 and 38221.

How to find the GCF of 38207 and 38221?

We will first find the prime factorization of 38207 and 38221. After we will calculate the factors of 38207 and 38221 and find the biggest common factor number .

Step-1: Prime Factorization of 38207

Prime factors of 38207 are 13, 2939. Prime factorization of 38207 in exponential form is:

38207 = 13¹ × 2939¹

Step-2: Prime Factorization of 38221

Prime factors of 38221 are 37, 1033. Prime factorization of 38221 in exponential form is:

38221 = 37¹ × 1033¹

Step-3: Factors of 38207

List of positive integer factors of 38207 that divides 38207 without a remainder.

1, 13, 2939

Step-4: Factors of 38221

List of positive integer factors of 38221 that divides 38207 without a remainder.

1, 37, 1033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38207 and 38221. The biggest common factor number is the GCF number.
So the greatest common factor 38207 and 38221 is 1.

Also check out the Least Common Multiple of 38207 and 38221