What is the Greatest Common Factor of 7704 and 7712?

Greatest common factor (GCF) of 7704 and 7712 is 8.

GCF(7704,7712) = 8

We will now calculate the prime factors of 7704 and 7712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7704 and 7712.

How to find the GCF of 7704 and 7712?

We will first find the prime factorization of 7704 and 7712. After we will calculate the factors of 7704 and 7712 and find the biggest common factor number .

Step-1: Prime Factorization of 7704

Prime factors of 7704 are 2, 3, 107. Prime factorization of 7704 in exponential form is:

7704 = 2³ × 3² × 107¹

Step-2: Prime Factorization of 7712

Prime factors of 7712 are 2, 241. Prime factorization of 7712 in exponential form is:

7712 = 2⁵ × 241¹

Step-3: Factors of 7704

List of positive integer factors of 7704 that divides 7704 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852

Step-4: Factors of 7712

List of positive integer factors of 7712 that divides 7704 without a remainder.

1, 2, 4, 8, 16, 32, 241, 482, 964, 1928, 3856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7704 and 7712. The biggest common factor number is the GCF number.
So the greatest common factor 7704 and 7712 is 8.

Also check out the Least Common Multiple of 7704 and 7712