What is the Greatest Common Factor of 38288 and 38306?

Greatest common factor (GCF) of 38288 and 38306 is 2.

GCF(38288,38306) = 2

We will now calculate the prime factors of 38288 and 38306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38288 and 38306.

How to find the GCF of 38288 and 38306?

We will first find the prime factorization of 38288 and 38306. After we will calculate the factors of 38288 and 38306 and find the biggest common factor number .

Step-1: Prime Factorization of 38288

Prime factors of 38288 are 2, 2393. Prime factorization of 38288 in exponential form is:

38288 = 2⁴ × 2393¹

Step-2: Prime Factorization of 38306

Prime factors of 38306 are 2, 107, 179. Prime factorization of 38306 in exponential form is:

38306 = 2¹ × 107¹ × 179¹

Step-3: Factors of 38288

List of positive integer factors of 38288 that divides 38288 without a remainder.

1, 2, 4, 8, 16, 2393, 4786, 9572, 19144

Step-4: Factors of 38306

List of positive integer factors of 38306 that divides 38288 without a remainder.

1, 2, 107, 179, 214, 358, 19153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38288 and 38306. The biggest common factor number is the GCF number.
So the greatest common factor 38288 and 38306 is 2.

Also check out the Least Common Multiple of 38288 and 38306