What is the Greatest Common Factor of 12854 and 12865?

Greatest common factor (GCF) of 12854 and 12865 is 1.

GCF(12854,12865) = 1

We will now calculate the prime factors of 12854 and 12865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12854 and 12865.

How to find the GCF of 12854 and 12865?

We will first find the prime factorization of 12854 and 12865. After we will calculate the factors of 12854 and 12865 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 12865

Prime factors of 12865 are 5, 31, 83. Prime factorization of 12865 in exponential form is:

12865 = 5¹ × 31¹ × 83¹

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 12865

List of positive integer factors of 12865 that divides 12854 without a remainder.

1, 5, 31, 83, 155, 415, 2573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12854 and 12865. The biggest common factor number is the GCF number.
So the greatest common factor 12854 and 12865 is 1.

Also check out the Least Common Multiple of 12854 and 12865