What is the Greatest Common Factor of 38439 and 38454?

Greatest common factor (GCF) of 38439 and 38454 is 3.

GCF(38439,38454) = 3

We will now calculate the prime factors of 38439 and 38454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38439 and 38454.

How to find the GCF of 38439 and 38454?

We will first find the prime factorization of 38439 and 38454. After we will calculate the factors of 38439 and 38454 and find the biggest common factor number .

Step-1: Prime Factorization of 38439

Prime factors of 38439 are 3, 4271. Prime factorization of 38439 in exponential form is:

38439 = 3² × 4271¹

Step-2: Prime Factorization of 38454

Prime factors of 38454 are 2, 3, 13, 17, 29. Prime factorization of 38454 in exponential form is:

38454 = 2¹ × 3¹ × 13¹ × 17¹ × 29¹

Step-3: Factors of 38439

List of positive integer factors of 38439 that divides 38439 without a remainder.

1, 3, 9, 4271, 12813

Step-4: Factors of 38454

List of positive integer factors of 38454 that divides 38439 without a remainder.

1, 2, 3, 6, 13, 17, 26, 29, 34, 39, 51, 58, 78, 87, 102, 174, 221, 377, 442, 493, 663, 754, 986, 1131, 1326, 1479, 2262, 2958, 6409, 12818, 19227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38439 and 38454. The biggest common factor number is the GCF number.
So the greatest common factor 38439 and 38454 is 3.

Also check out the Least Common Multiple of 38439 and 38454