What is the Greatest Common Factor of 38048 and 38067?

Greatest common factor (GCF) of 38048 and 38067 is 1.

GCF(38048,38067) = 1

We will now calculate the prime factors of 38048 and 38067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38048 and 38067.

How to find the GCF of 38048 and 38067?

We will first find the prime factorization of 38048 and 38067. After we will calculate the factors of 38048 and 38067 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 38067

Prime factors of 38067 are 3, 12689. Prime factorization of 38067 in exponential form is:

38067 = 3¹ × 12689¹

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 38067

List of positive integer factors of 38067 that divides 38048 without a remainder.

1, 3, 12689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38048 and 38067. The biggest common factor number is the GCF number.
So the greatest common factor 38048 and 38067 is 1.

Also check out the Least Common Multiple of 38048 and 38067