What is the Greatest Common Factor of 15834 and 15854?

Greatest common factor (GCF) of 15834 and 15854 is 2.

GCF(15834,15854) = 2

We will now calculate the prime factors of 15834 and 15854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15834 and 15854.

How to find the GCF of 15834 and 15854?

We will first find the prime factorization of 15834 and 15854. After we will calculate the factors of 15834 and 15854 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 15854

Prime factors of 15854 are 2, 7927. Prime factorization of 15854 in exponential form is:

15854 = 2¹ × 7927¹

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 15854

List of positive integer factors of 15854 that divides 15834 without a remainder.

1, 2, 7927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15834 and 15854. The biggest common factor number is the GCF number.
So the greatest common factor 15834 and 15854 is 2.

Also check out the Least Common Multiple of 15834 and 15854