What is the Greatest Common Factor of 15852 and 15871?

Greatest common factor (GCF) of 15852 and 15871 is 1.

GCF(15852,15871) = 1

We will now calculate the prime factors of 15852 and 15871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15852 and 15871.

How to find the GCF of 15852 and 15871?

We will first find the prime factorization of 15852 and 15871. After we will calculate the factors of 15852 and 15871 and find the biggest common factor number .

Step-1: Prime Factorization of 15852

Prime factors of 15852 are 2, 3, 1321. Prime factorization of 15852 in exponential form is:

15852 = 2² × 3¹ × 1321¹

Step-2: Prime Factorization of 15871

Prime factors of 15871 are 59, 269. Prime factorization of 15871 in exponential form is:

15871 = 59¹ × 269¹

Step-3: Factors of 15852

List of positive integer factors of 15852 that divides 15852 without a remainder.

1, 2, 3, 4, 6, 12, 1321, 2642, 3963, 5284, 7926

Step-4: Factors of 15871

List of positive integer factors of 15871 that divides 15852 without a remainder.

1, 59, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15852 and 15871. The biggest common factor number is the GCF number.
So the greatest common factor 15852 and 15871 is 1.

Also check out the Least Common Multiple of 15852 and 15871