What is the Greatest Common Factor of 38421 and 38439?

Greatest common factor (GCF) of 38421 and 38439 is 9.

GCF(38421,38439) = 9

We will now calculate the prime factors of 38421 and 38439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38421 and 38439.

How to find the GCF of 38421 and 38439?

We will first find the prime factorization of 38421 and 38439. After we will calculate the factors of 38421 and 38439 and find the biggest common factor number .

Step-1: Prime Factorization of 38421

Prime factors of 38421 are 3, 1423. Prime factorization of 38421 in exponential form is:

38421 = 3³ × 1423¹

Step-2: Prime Factorization of 38439

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

38439 = 3² × 4271¹

Step-3: Factors of 38421

List of positive integer factors of 38421 that divides 38421 without a remainder.

1, 3, 9, 27, 1423, 4269, 12807

Step-4: Factors of 38439

List of positive integer factors of 38439 that divides 38421 without a remainder.

1, 3, 9, 4271, 12813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38421 and 38439. The biggest common factor number is the GCF number.
So the greatest common factor 38421 and 38439 is 9.

Also check out the Least Common Multiple of 38421 and 38439