What is the Greatest Common Factor of 15687 and 15699?

Greatest common factor (GCF) of 15687 and 15699 is 3.

GCF(15687,15699) = 3

We will now calculate the prime factors of 15687 and 15699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15687 and 15699.

How to find the GCF of 15687 and 15699?

We will first find the prime factorization of 15687 and 15699. After we will calculate the factors of 15687 and 15699 and find the biggest common factor number .

Step-1: Prime Factorization of 15687

Prime factors of 15687 are 3, 7, 83. Prime factorization of 15687 in exponential form is:

15687 = 3³ × 7¹ × 83¹

Step-2: Prime Factorization of 15699

Prime factors of 15699 are 3, 5233. Prime factorization of 15699 in exponential form is:

15699 = 3¹ × 5233¹

Step-3: Factors of 15687

List of positive integer factors of 15687 that divides 15687 without a remainder.

1, 3, 7, 9, 21, 27, 63, 83, 189, 249, 581, 747, 1743, 2241, 5229

Step-4: Factors of 15699

List of positive integer factors of 15699 that divides 15687 without a remainder.

1, 3, 5233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15687 and 15699. The biggest common factor number is the GCF number.
So the greatest common factor 15687 and 15699 is 3.

Also check out the Least Common Multiple of 15687 and 15699