What is the Greatest Common Factor of 7856 and 7872?

Greatest common factor (GCF) of 7856 and 7872 is 16.

GCF(7856,7872) = 16

We will now calculate the prime factors of 7856 and 7872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7856 and 7872.

How to find the GCF of 7856 and 7872?

We will first find the prime factorization of 7856 and 7872. After we will calculate the factors of 7856 and 7872 and find the biggest common factor number .

Step-1: Prime Factorization of 7856

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

7856 = 2⁴ × 491¹

Step-2: Prime Factorization of 7872

Prime factors of 7872 are 2, 3, 41. Prime factorization of 7872 in exponential form is:

7872 = 2⁶ × 3¹ × 41¹

Step-3: Factors of 7856

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

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

Step-4: Factors of 7872

List of positive integer factors of 7872 that divides 7856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7856 and 7872. The biggest common factor number is the GCF number.
So the greatest common factor 7856 and 7872 is 16.

Also check out the Least Common Multiple of 7856 and 7872