What is the Greatest Common Factor of 15834 and 15839?

Greatest common factor (GCF) of 15834 and 15839 is 1.

GCF(15834,15839) = 1

We will now calculate the prime factors of 15834 and 15839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15834 and 15839.

How to find the GCF of 15834 and 15839?

We will first find the prime factorization of 15834 and 15839. After we will calculate the factors of 15834 and 15839 and find the biggest common factor number .

Step-1: Prime Factorization of 15834

Prime factors of 15834 are 2, 3, 7, 13, 29. Prime factorization of 15834 in exponential form is:

15834 = 2¹ × 3¹ × 7¹ × 13¹ × 29¹

Step-2: Prime Factorization of 15839

Prime factors of 15839 are 47, 337. Prime factorization of 15839 in exponential form is:

15839 = 47¹ × 337¹

Step-3: Factors of 15834

List of positive integer factors of 15834 that divides 15834 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 29, 39, 42, 58, 78, 87, 91, 174, 182, 203, 273, 377, 406, 546, 609, 754, 1131, 1218, 2262, 2639, 5278, 7917

Step-4: Factors of 15839

List of positive integer factors of 15839 that divides 15834 without a remainder.

1, 47, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15834 and 15839. The biggest common factor number is the GCF number.
So the greatest common factor 15834 and 15839 is 1.

Also check out the Least Common Multiple of 15834 and 15839