What is the Greatest Common Factor of 38184 and 38198?

Greatest common factor (GCF) of 38184 and 38198 is 2.

GCF(38184,38198) = 2

We will now calculate the prime factors of 38184 and 38198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38184 and 38198.

How to find the GCF of 38184 and 38198?

We will first find the prime factorization of 38184 and 38198. After we will calculate the factors of 38184 and 38198 and find the biggest common factor number .

Step-1: Prime Factorization of 38184

Prime factors of 38184 are 2, 3, 37, 43. Prime factorization of 38184 in exponential form is:

38184 = 2³ × 3¹ × 37¹ × 43¹

Step-2: 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-3: Factors of 38184

List of positive integer factors of 38184 that divides 38184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 43, 74, 86, 111, 129, 148, 172, 222, 258, 296, 344, 444, 516, 888, 1032, 1591, 3182, 4773, 6364, 9546, 12728, 19092

Step-4: Factors of 38198

List of positive integer factors of 38198 that divides 38184 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38184 and 38198. The biggest common factor number is the GCF number.
So the greatest common factor 38184 and 38198 is 2.

Also check out the Least Common Multiple of 38184 and 38198