What is the Greatest Common Factor of 38048 and 38057?

Greatest common factor (GCF) of 38048 and 38057 is 1.

GCF(38048,38057) = 1

We will now calculate the prime factors of 38048 and 38057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38048 and 38057.

How to find the GCF of 38048 and 38057?

We will first find the prime factorization of 38048 and 38057. After we will calculate the factors of 38048 and 38057 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38057

Prime factors of 38057 are 19, 2003. Prime factorization of 38057 in exponential form is:

38057 = 19¹ × 2003¹

Step-3: Factors of 38048

List of positive integer factors of 38048 that divides 38048 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

Step-4: Factors of 38057

List of positive integer factors of 38057 that divides 38048 without a remainder.

1, 19, 2003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38048 and 38057. The biggest common factor number is the GCF number.
So the greatest common factor 38048 and 38057 is 1.

Also check out the Least Common Multiple of 38048 and 38057