What is the Greatest Common Factor of 38034 and 38048?

Greatest common factor (GCF) of 38034 and 38048 is 2.

GCF(38034,38048) = 2

We will now calculate the prime factors of 38034 and 38048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38034 and 38048.

How to find the GCF of 38034 and 38048?

We will first find the prime factorization of 38034 and 38048. After we will calculate the factors of 38034 and 38048 and find the biggest common factor number .

Step-1: Prime Factorization of 38034

Prime factors of 38034 are 2, 3, 2113. Prime factorization of 38034 in exponential form is:

38034 = 2¹ × 3² × 2113¹

Step-2: Prime Factorization of 38048

Prime factors of 38048 are 2, 29, 41. Prime factorization of 38048 in exponential form is:

38048 = 2⁵ × 29¹ × 41¹

Step-3: Factors of 38034

List of positive integer factors of 38034 that divides 38034 without a remainder.

1, 2, 3, 6, 9, 18, 2113, 4226, 6339, 12678, 19017

Step-4: Factors of 38048

List of positive integer factors of 38048 that divides 38034 without a remainder.

1, 2, 4, 8, 16, 29, 32, 41, 58, 82, 116, 164, 232, 328, 464, 656, 928, 1189, 1312, 2378, 4756, 9512, 19024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38034 and 38048. The biggest common factor number is the GCF number.
So the greatest common factor 38034 and 38048 is 2.

Also check out the Least Common Multiple of 38034 and 38048