What is the Greatest Common Factor of 15671 and 15675?

Greatest common factor (GCF) of 15671 and 15675 is 1.

GCF(15671,15675) = 1

We will now calculate the prime factors of 15671 and 15675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15671 and 15675.

How to find the GCF of 15671 and 15675?

We will first find the prime factorization of 15671 and 15675. After we will calculate the factors of 15671 and 15675 and find the biggest common factor number .

Step-1: Prime Factorization of 15671

Prime factors of 15671 are 15671. Prime factorization of 15671 in exponential form is:

15671 = 15671¹

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 15671

List of positive integer factors of 15671 that divides 15671 without a remainder.

Step-4: Factors of 15675

List of positive integer factors of 15675 that divides 15671 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 15671 and 15675. The biggest common factor number is the GCF number.
So the greatest common factor 15671 and 15675 is 1.

Also check out the Least Common Multiple of 15671 and 15675