What is the Greatest Common Factor of 38278 and 38288?

Greatest common factor (GCF) of 38278 and 38288 is 2.

GCF(38278,38288) = 2

We will now calculate the prime factors of 38278 and 38288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38278 and 38288.

How to find the GCF of 38278 and 38288?

We will first find the prime factorization of 38278 and 38288. After we will calculate the factors of 38278 and 38288 and find the biggest common factor number .

Step-1: Prime Factorization of 38278

Prime factors of 38278 are 2, 19139. Prime factorization of 38278 in exponential form is:

38278 = 2¹ × 19139¹

Step-2: Prime Factorization of 38288

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

38288 = 2⁴ × 2393¹

Step-3: Factors of 38278

List of positive integer factors of 38278 that divides 38278 without a remainder.

1, 2, 19139

Step-4: Factors of 38288

List of positive integer factors of 38288 that divides 38278 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38278 and 38288. The biggest common factor number is the GCF number.
So the greatest common factor 38278 and 38288 is 2.

Also check out the Least Common Multiple of 38278 and 38288