What is the Greatest Common Factor of 38198 and 38203?

Greatest common factor (GCF) of 38198 and 38203 is 1.

GCF(38198,38203) = 1

We will now calculate the prime factors of 38198 and 38203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38198 and 38203.

How to find the GCF of 38198 and 38203?

We will first find the prime factorization of 38198 and 38203. After we will calculate the factors of 38198 and 38203 and find the biggest common factor number .

Step-1: Prime Factorization of 38198

Prime factors of 38198 are 2, 71, 269. Prime factorization of 38198 in exponential form is:

38198 = 2¹ × 71¹ × 269¹

Step-2: Prime Factorization of 38203

Prime factors of 38203 are 11, 23, 151. Prime factorization of 38203 in exponential form is:

38203 = 11¹ × 23¹ × 151¹

Step-3: Factors of 38198

List of positive integer factors of 38198 that divides 38198 without a remainder.

1, 2, 71, 142, 269, 538, 19099

Step-4: Factors of 38203

List of positive integer factors of 38203 that divides 38198 without a remainder.

1, 11, 23, 151, 253, 1661, 3473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38198 and 38203. The biggest common factor number is the GCF number.
So the greatest common factor 38198 and 38203 is 1.

Also check out the Least Common Multiple of 38198 and 38203