What is the Greatest Common Factor of 15786 and 15804?

Greatest common factor (GCF) of 15786 and 15804 is 18.

GCF(15786,15804) = 18

We will now calculate the prime factors of 15786 and 15804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15786 and 15804.

How to find the GCF of 15786 and 15804?

We will first find the prime factorization of 15786 and 15804. After we will calculate the factors of 15786 and 15804 and find the biggest common factor number .

Step-1: Prime Factorization of 15786

Prime factors of 15786 are 2, 3, 877. Prime factorization of 15786 in exponential form is:

15786 = 2¹ × 3² × 877¹

Step-2: Prime Factorization of 15804

Prime factors of 15804 are 2, 3, 439. Prime factorization of 15804 in exponential form is:

15804 = 2² × 3² × 439¹

Step-3: Factors of 15786

List of positive integer factors of 15786 that divides 15786 without a remainder.

1, 2, 3, 6, 9, 18, 877, 1754, 2631, 5262, 7893

Step-4: Factors of 15804

List of positive integer factors of 15804 that divides 15786 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 439, 878, 1317, 1756, 2634, 3951, 5268, 7902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15786 and 15804. The biggest common factor number is the GCF number.
So the greatest common factor 15786 and 15804 is 18.

Also check out the Least Common Multiple of 15786 and 15804