What is the Greatest Common Factor of 7716 and 7725?

Greatest common factor (GCF) of 7716 and 7725 is 3.

GCF(7716,7725) = 3

We will now calculate the prime factors of 7716 and 7725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7716 and 7725.

How to find the GCF of 7716 and 7725?

We will first find the prime factorization of 7716 and 7725. After we will calculate the factors of 7716 and 7725 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 7725

Prime factors of 7725 are 3, 5, 103. Prime factorization of 7725 in exponential form is:

7725 = 3¹ × 5² × 103¹

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 7725

List of positive integer factors of 7725 that divides 7716 without a remainder.

1, 3, 5, 15, 25, 75, 103, 309, 515, 1545, 2575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7716 and 7725. The biggest common factor number is the GCF number.
So the greatest common factor 7716 and 7725 is 3.

Also check out the Least Common Multiple of 7716 and 7725