What is the Greatest Common Factor of 15420 and 15439?

Greatest common factor (GCF) of 15420 and 15439 is 1.

GCF(15420,15439) = 1

We will now calculate the prime factors of 15420 and 15439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15420 and 15439.

How to find the GCF of 15420 and 15439?

We will first find the prime factorization of 15420 and 15439. After we will calculate the factors of 15420 and 15439 and find the biggest common factor number .

Step-1: Prime Factorization of 15420

Prime factors of 15420 are 2, 3, 5, 257. Prime factorization of 15420 in exponential form is:

15420 = 2² × 3¹ × 5¹ × 257¹

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 15420

List of positive integer factors of 15420 that divides 15420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 257, 514, 771, 1028, 1285, 1542, 2570, 3084, 3855, 5140, 7710

Step-4: Factors of 15439

List of positive integer factors of 15439 that divides 15420 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15420 and 15439. The biggest common factor number is the GCF number.
So the greatest common factor 15420 and 15439 is 1.

Also check out the Least Common Multiple of 15420 and 15439