What is the Greatest Common Factor of 15828 and 15847?

Greatest common factor (GCF) of 15828 and 15847 is 1.

GCF(15828,15847) = 1

We will now calculate the prime factors of 15828 and 15847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15828 and 15847.

How to find the GCF of 15828 and 15847?

We will first find the prime factorization of 15828 and 15847. After we will calculate the factors of 15828 and 15847 and find the biggest common factor number .

Step-1: Prime Factorization of 15828

Prime factors of 15828 are 2, 3, 1319. Prime factorization of 15828 in exponential form is:

15828 = 2² × 3¹ × 1319¹

Step-2: Prime Factorization of 15847

Prime factors of 15847 are 13, 23, 53. Prime factorization of 15847 in exponential form is:

15847 = 13¹ × 23¹ × 53¹

Step-3: Factors of 15828

List of positive integer factors of 15828 that divides 15828 without a remainder.

1, 2, 3, 4, 6, 12, 1319, 2638, 3957, 5276, 7914

Step-4: Factors of 15847

List of positive integer factors of 15847 that divides 15828 without a remainder.

1, 13, 23, 53, 299, 689, 1219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15828 and 15847. The biggest common factor number is the GCF number.
So the greatest common factor 15828 and 15847 is 1.

Also check out the Least Common Multiple of 15828 and 15847