What is the Greatest Common Factor of 7856 and 7874?

Greatest common factor (GCF) of 7856 and 7874 is 2.

GCF(7856,7874) = 2

We will now calculate the prime factors of 7856 and 7874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7856 and 7874.

How to find the GCF of 7856 and 7874?

We will first find the prime factorization of 7856 and 7874. After we will calculate the factors of 7856 and 7874 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 7874

Prime factors of 7874 are 2, 31, 127. Prime factorization of 7874 in exponential form is:

7874 = 2¹ × 31¹ × 127¹

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 7874

List of positive integer factors of 7874 that divides 7856 without a remainder.

1, 2, 31, 62, 127, 254, 3937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7856 and 7874. The biggest common factor number is the GCF number.
So the greatest common factor 7856 and 7874 is 2.

Also check out the Least Common Multiple of 7856 and 7874