What is the Greatest Common Factor of 15675 and 15687?

Greatest common factor (GCF) of 15675 and 15687 is 3.

GCF(15675,15687) = 3

We will now calculate the prime factors of 15675 and 15687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15675 and 15687.

How to find the GCF of 15675 and 15687?

We will first find the prime factorization of 15675 and 15687. After we will calculate the factors of 15675 and 15687 and find the biggest common factor number .

Step-1: Prime Factorization of 15675

Prime factors of 15675 are 3, 5, 11, 19. Prime factorization of 15675 in exponential form is:

15675 = 3¹ × 5² × 11¹ × 19¹

Step-2: 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-3: Factors of 15675

List of positive integer factors of 15675 that divides 15675 without a remainder.

1, 3, 5, 11, 15, 19, 25, 33, 55, 57, 75, 95, 165, 209, 275, 285, 475, 627, 825, 1045, 1425, 3135, 5225

Step-4: Factors of 15687

List of positive integer factors of 15687 that divides 15675 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15675 and 15687. The biggest common factor number is the GCF number.
So the greatest common factor 15675 and 15687 is 3.

Also check out the Least Common Multiple of 15675 and 15687