What is the Greatest Common Factor of 15834 and 15846?

Greatest common factor (GCF) of 15834 and 15846 is 6.

GCF(15834,15846) = 6

We will now calculate the prime factors of 15834 and 15846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15834 and 15846.

How to find the GCF of 15834 and 15846?

We will first find the prime factorization of 15834 and 15846. After we will calculate the factors of 15834 and 15846 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 15846

Prime factors of 15846 are 2, 3, 19, 139. Prime factorization of 15846 in exponential form is:

15846 = 2¹ × 3¹ × 19¹ × 139¹

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 15846

List of positive integer factors of 15846 that divides 15834 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 139, 278, 417, 834, 2641, 5282, 7923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15834 and 15846. The biggest common factor number is the GCF number.
So the greatest common factor 15834 and 15846 is 6.

Also check out the Least Common Multiple of 15834 and 15846