What is the Greatest Common Factor of 38448 and 38459?

Greatest common factor (GCF) of 38448 and 38459 is 1.

GCF(38448,38459) = 1

We will now calculate the prime factors of 38448 and 38459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38448 and 38459.

How to find the GCF of 38448 and 38459?

We will first find the prime factorization of 38448 and 38459. After we will calculate the factors of 38448 and 38459 and find the biggest common factor number .

Step-1: Prime Factorization of 38448

Prime factors of 38448 are 2, 3, 89. Prime factorization of 38448 in exponential form is:

38448 = 2⁴ × 3³ × 89¹

Step-2: Prime Factorization of 38459

Prime factors of 38459 are 38459. Prime factorization of 38459 in exponential form is:

38459 = 38459¹

Step-3: Factors of 38448

List of positive integer factors of 38448 that divides 38448 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 89, 108, 144, 178, 216, 267, 356, 432, 534, 712, 801, 1068, 1424, 1602, 2136, 2403, 3204, 4272, 4806, 6408, 9612, 12816, 19224

Step-4: Factors of 38459

List of positive integer factors of 38459 that divides 38448 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38448 and 38459. The biggest common factor number is the GCF number.
So the greatest common factor 38448 and 38459 is 1.

Also check out the Least Common Multiple of 38448 and 38459