What is the Greatest Common Factor of 7716 and 7728?

Greatest common factor (GCF) of 7716 and 7728 is 12.

GCF(7716,7728) = 12

We will now calculate the prime factors of 7716 and 7728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7716 and 7728.

How to find the GCF of 7716 and 7728?

We will first find the prime factorization of 7716 and 7728. After we will calculate the factors of 7716 and 7728 and find the biggest common factor number .

Step-1: Prime Factorization of 7716

Prime factors of 7716 are 2, 3, 643. Prime factorization of 7716 in exponential form is:

7716 = 2² × 3¹ × 643¹

Step-2: Prime Factorization of 7728

Prime factors of 7728 are 2, 3, 7, 23. Prime factorization of 7728 in exponential form is:

7728 = 2⁴ × 3¹ × 7¹ × 23¹

Step-3: Factors of 7716

List of positive integer factors of 7716 that divides 7716 without a remainder.

1, 2, 3, 4, 6, 12, 643, 1286, 1929, 2572, 3858

Step-4: Factors of 7728

List of positive integer factors of 7728 that divides 7716 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 42, 46, 48, 56, 69, 84, 92, 112, 138, 161, 168, 184, 276, 322, 336, 368, 483, 552, 644, 966, 1104, 1288, 1932, 2576, 3864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7716 and 7728. The biggest common factor number is the GCF number.
So the greatest common factor 7716 and 7728 is 12.

Also check out the Least Common Multiple of 7716 and 7728