What is the Greatest Common Factor of 15432 and 15439?

Greatest common factor (GCF) of 15432 and 15439 is 1.

GCF(15432,15439) = 1

We will now calculate the prime factors of 15432 and 15439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15432 and 15439.

How to find the GCF of 15432 and 15439?

We will first find the prime factorization of 15432 and 15439. After we will calculate the factors of 15432 and 15439 and find the biggest common factor number .

Step-1: Prime Factorization of 15432

Prime factors of 15432 are 2, 3, 643. Prime factorization of 15432 in exponential form is:

15432 = 2³ × 3¹ × 643¹

Step-2: Prime Factorization of 15439

Prime factors of 15439 are 15439. Prime factorization of 15439 in exponential form is:

15439 = 15439¹

Step-3: Factors of 15432

List of positive integer factors of 15432 that divides 15432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 643, 1286, 1929, 2572, 3858, 5144, 7716

Step-4: Factors of 15439

List of positive integer factors of 15439 that divides 15432 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15432 and 15439. The biggest common factor number is the GCF number.
So the greatest common factor 15432 and 15439 is 1.

Also check out the Least Common Multiple of 15432 and 15439