What is the Greatest Common Factor of 12849 and 12856?

Greatest common factor (GCF) of 12849 and 12856 is 1.

GCF(12849,12856) = 1

We will now calculate the prime factors of 12849 and 12856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12849 and 12856.

How to find the GCF of 12849 and 12856?

We will first find the prime factorization of 12849 and 12856. After we will calculate the factors of 12849 and 12856 and find the biggest common factor number .

Step-1: Prime Factorization of 12849

Prime factors of 12849 are 3, 4283. Prime factorization of 12849 in exponential form is:

12849 = 3¹ × 4283¹

Step-2: Prime Factorization of 12856

Prime factors of 12856 are 2, 1607. Prime factorization of 12856 in exponential form is:

12856 = 2³ × 1607¹

Step-3: Factors of 12849

List of positive integer factors of 12849 that divides 12849 without a remainder.

1, 3, 4283

Step-4: Factors of 12856

List of positive integer factors of 12856 that divides 12849 without a remainder.

1, 2, 4, 8, 1607, 3214, 6428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12849 and 12856. The biggest common factor number is the GCF number.
So the greatest common factor 12849 and 12856 is 1.

Also check out the Least Common Multiple of 12849 and 12856