What is the Greatest Common Factor of 7856 and 7876?

Greatest common factor (GCF) of 7856 and 7876 is 4.

GCF(7856,7876) = 4

We will now calculate the prime factors of 7856 and 7876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7856 and 7876.

How to find the GCF of 7856 and 7876?

We will first find the prime factorization of 7856 and 7876. After we will calculate the factors of 7856 and 7876 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 7876

Prime factors of 7876 are 2, 11, 179. Prime factorization of 7876 in exponential form is:

7876 = 2² × 11¹ × 179¹

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 7876

List of positive integer factors of 7876 that divides 7856 without a remainder.

1, 2, 4, 11, 22, 44, 179, 358, 716, 1969, 3938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7856 and 7876. The biggest common factor number is the GCF number.
So the greatest common factor 7856 and 7876 is 4.

Also check out the Least Common Multiple of 7856 and 7876