What is the Greatest Common Factor of 38176 and 38188?

Greatest common factor (GCF) of 38176 and 38188 is 4.

GCF(38176,38188) = 4

We will now calculate the prime factors of 38176 and 38188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38176 and 38188.

How to find the GCF of 38176 and 38188?

We will first find the prime factorization of 38176 and 38188. After we will calculate the factors of 38176 and 38188 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 38188

Prime factors of 38188 are 2, 9547. Prime factorization of 38188 in exponential form is:

38188 = 2² × 9547¹

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 38188

List of positive integer factors of 38188 that divides 38176 without a remainder.

1, 2, 4, 9547, 19094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38176 and 38188. The biggest common factor number is the GCF number.
So the greatest common factor 38176 and 38188 is 4.

Also check out the Least Common Multiple of 38176 and 38188