What is the Greatest Common Factor of 38144 and 38159?

Greatest common factor (GCF) of 38144 and 38159 is 1.

GCF(38144,38159) = 1

We will now calculate the prime factors of 38144 and 38159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38144 and 38159.

How to find the GCF of 38144 and 38159?

We will first find the prime factorization of 38144 and 38159. After we will calculate the factors of 38144 and 38159 and find the biggest common factor number .

Step-1: Prime Factorization of 38144

Prime factors of 38144 are 2, 149. Prime factorization of 38144 in exponential form is:

38144 = 2⁸ × 149¹

Step-2: Prime Factorization of 38159

Prime factors of 38159 are 11, 3469. Prime factorization of 38159 in exponential form is:

38159 = 11¹ × 3469¹

Step-3: Factors of 38144

List of positive integer factors of 38144 that divides 38144 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 149, 256, 298, 596, 1192, 2384, 4768, 9536, 19072

Step-4: Factors of 38159

List of positive integer factors of 38159 that divides 38144 without a remainder.

1, 11, 3469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38144 and 38159. The biggest common factor number is the GCF number.
So the greatest common factor 38144 and 38159 is 1.

Also check out the Least Common Multiple of 38144 and 38159