What is the Greatest Common Factor of 15666 and 15675?

Greatest common factor (GCF) of 15666 and 15675 is 3.

GCF(15666,15675) = 3

We will now calculate the prime factors of 15666 and 15675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15666 and 15675.

How to find the GCF of 15666 and 15675?

We will first find the prime factorization of 15666 and 15675. After we will calculate the factors of 15666 and 15675 and find the biggest common factor number .

Step-1: Prime Factorization of 15666

Prime factors of 15666 are 2, 3, 7, 373. Prime factorization of 15666 in exponential form is:

15666 = 2¹ × 3¹ × 7¹ × 373¹

Step-2: 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-3: Factors of 15666

List of positive integer factors of 15666 that divides 15666 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 373, 746, 1119, 2238, 2611, 5222, 7833

Step-4: Factors of 15675

List of positive integer factors of 15675 that divides 15666 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15666 and 15675. The biggest common factor number is the GCF number.
So the greatest common factor 15666 and 15675 is 3.

Also check out the Least Common Multiple of 15666 and 15675