What is the Greatest Common Factor of 7838 and 7856?

Greatest common factor (GCF) of 7838 and 7856 is 2.

GCF(7838,7856) = 2

We will now calculate the prime factors of 7838 and 7856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7838 and 7856.

How to find the GCF of 7838 and 7856?

We will first find the prime factorization of 7838 and 7856. After we will calculate the factors of 7838 and 7856 and find the biggest common factor number .

Step-1: Prime Factorization of 7838

Prime factors of 7838 are 2, 3919. Prime factorization of 7838 in exponential form is:

7838 = 2¹ × 3919¹

Step-2: Prime Factorization of 7856

Prime factors of 7856 are 2, 491. Prime factorization of 7856 in exponential form is:

7856 = 2⁴ × 491¹

Step-3: Factors of 7838

List of positive integer factors of 7838 that divides 7838 without a remainder.

1, 2, 3919

Step-4: Factors of 7856

List of positive integer factors of 7856 that divides 7838 without a remainder.

1, 2, 4, 8, 16, 491, 982, 1964, 3928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7838 and 7856. The biggest common factor number is the GCF number.
So the greatest common factor 7838 and 7856 is 2.

Also check out the Least Common Multiple of 7838 and 7856