What is the Greatest Common Factor of 38176 and 38184?

Greatest common factor (GCF) of 38176 and 38184 is 8.

GCF(38176,38184) = 8

We will now calculate the prime factors of 38176 and 38184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38176 and 38184.

How to find the GCF of 38176 and 38184?

We will first find the prime factorization of 38176 and 38184. After we will calculate the factors of 38176 and 38184 and find the biggest common factor number .

Step-1: Prime Factorization of 38176

Prime factors of 38176 are 2, 1193. Prime factorization of 38176 in exponential form is:

38176 = 2⁵ × 1193¹

Step-2: 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-3: Factors of 38176

List of positive integer factors of 38176 that divides 38176 without a remainder.

1, 2, 4, 8, 16, 32, 1193, 2386, 4772, 9544, 19088

Step-4: Factors of 38184

List of positive integer factors of 38184 that divides 38176 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38176 and 38184. The biggest common factor number is the GCF number.
So the greatest common factor 38176 and 38184 is 8.

Also check out the Least Common Multiple of 38176 and 38184