What is the Greatest Common Factor of 6838 and 6856?

Greatest common factor (GCF) of 6838 and 6856 is 2.

GCF(6838,6856) = 2

We will now calculate the prime factors of 6838 and 6856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6838 and 6856.

How to find the GCF of 6838 and 6856?

We will first find the prime factorization of 6838 and 6856. After we will calculate the factors of 6838 and 6856 and find the biggest common factor number .

Step-1: Prime Factorization of 6838

Prime factors of 6838 are 2, 13, 263. Prime factorization of 6838 in exponential form is:

6838 = 2¹ × 13¹ × 263¹

Step-2: Prime Factorization of 6856

Prime factors of 6856 are 2, 857. Prime factorization of 6856 in exponential form is:

6856 = 2³ × 857¹

Step-3: Factors of 6838

List of positive integer factors of 6838 that divides 6838 without a remainder.

1, 2, 13, 26, 263, 526, 3419

Step-4: Factors of 6856

List of positive integer factors of 6856 that divides 6838 without a remainder.

1, 2, 4, 8, 857, 1714, 3428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6838 and 6856. The biggest common factor number is the GCF number.
So the greatest common factor 6838 and 6856 is 2.

Also check out the Least Common Multiple of 6838 and 6856