What is the Greatest Common Factor of 38189 and 38208?

Greatest common factor (GCF) of 38189 and 38208 is 1.

GCF(38189,38208) = 1

We will now calculate the prime factors of 38189 and 38208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38189 and 38208.

How to find the GCF of 38189 and 38208?

We will first find the prime factorization of 38189 and 38208. After we will calculate the factors of 38189 and 38208 and find the biggest common factor number .

Step-1: Prime Factorization of 38189

Prime factors of 38189 are 38189. Prime factorization of 38189 in exponential form is:

38189 = 38189¹

Step-2: Prime Factorization of 38208

Prime factors of 38208 are 2, 3, 199. Prime factorization of 38208 in exponential form is:

38208 = 2⁶ × 3¹ × 199¹

Step-3: Factors of 38189

List of positive integer factors of 38189 that divides 38189 without a remainder.

Step-4: Factors of 38208

List of positive integer factors of 38208 that divides 38189 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776, 6368, 9552, 12736, 19104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38189 and 38208. The biggest common factor number is the GCF number.
So the greatest common factor 38189 and 38208 is 1.

Also check out the Least Common Multiple of 38189 and 38208