What is the Greatest Common Factor of 38128 and 38138?

Greatest common factor (GCF) of 38128 and 38138 is 2.

GCF(38128,38138) = 2

We will now calculate the prime factors of 38128 and 38138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38128 and 38138.

How to find the GCF of 38128 and 38138?

We will first find the prime factorization of 38128 and 38138. After we will calculate the factors of 38128 and 38138 and find the biggest common factor number .

Step-1: Prime Factorization of 38128

Prime factors of 38128 are 2, 2383. Prime factorization of 38128 in exponential form is:

38128 = 2⁴ × 2383¹

Step-2: Prime Factorization of 38138

Prime factors of 38138 are 2, 19069. Prime factorization of 38138 in exponential form is:

38138 = 2¹ × 19069¹

Step-3: Factors of 38128

List of positive integer factors of 38128 that divides 38128 without a remainder.

1, 2, 4, 8, 16, 2383, 4766, 9532, 19064

Step-4: Factors of 38138

List of positive integer factors of 38138 that divides 38128 without a remainder.

1, 2, 19069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38128 and 38138. The biggest common factor number is the GCF number.
So the greatest common factor 38128 and 38138 is 2.

Also check out the Least Common Multiple of 38128 and 38138