What is the Greatest Common Factor of 12854 and 12871?

Greatest common factor (GCF) of 12854 and 12871 is 1.

GCF(12854,12871) = 1

We will now calculate the prime factors of 12854 and 12871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12854 and 12871.

How to find the GCF of 12854 and 12871?

We will first find the prime factorization of 12854 and 12871. After we will calculate the factors of 12854 and 12871 and find the biggest common factor number .

Step-1: Prime Factorization of 12854

Prime factors of 12854 are 2, 6427. Prime factorization of 12854 in exponential form is:

12854 = 2¹ × 6427¹

Step-2: Prime Factorization of 12871

Prime factors of 12871 are 61, 211. Prime factorization of 12871 in exponential form is:

12871 = 61¹ × 211¹

Step-3: Factors of 12854

List of positive integer factors of 12854 that divides 12854 without a remainder.

1, 2, 6427

Step-4: Factors of 12871

List of positive integer factors of 12871 that divides 12854 without a remainder.

1, 61, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12854 and 12871. The biggest common factor number is the GCF number.
So the greatest common factor 12854 and 12871 is 1.

Also check out the Least Common Multiple of 12854 and 12871