What is the Greatest Common Factor of 38204 and 38211?

Greatest common factor (GCF) of 38204 and 38211 is 1.

GCF(38204,38211) = 1

We will now calculate the prime factors of 38204 and 38211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38204 and 38211.

How to find the GCF of 38204 and 38211?

We will first find the prime factorization of 38204 and 38211. After we will calculate the factors of 38204 and 38211 and find the biggest common factor number .

Step-1: Prime Factorization of 38204

Prime factors of 38204 are 2, 9551. Prime factorization of 38204 in exponential form is:

38204 = 2² × 9551¹

Step-2: Prime Factorization of 38211

Prime factors of 38211 are 3, 47, 271. Prime factorization of 38211 in exponential form is:

38211 = 3¹ × 47¹ × 271¹

Step-3: Factors of 38204

List of positive integer factors of 38204 that divides 38204 without a remainder.

1, 2, 4, 9551, 19102

Step-4: Factors of 38211

List of positive integer factors of 38211 that divides 38204 without a remainder.

1, 3, 47, 141, 271, 813, 12737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38204 and 38211. The biggest common factor number is the GCF number.
So the greatest common factor 38204 and 38211 is 1.

Also check out the Least Common Multiple of 38204 and 38211