What is the Greatest Common Factor of 7683 and 7696?

Greatest common factor (GCF) of 7683 and 7696 is 13.

GCF(7683,7696) = 13

We will now calculate the prime factors of 7683 and 7696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7683 and 7696.

How to find the GCF of 7683 and 7696?

We will first find the prime factorization of 7683 and 7696. After we will calculate the factors of 7683 and 7696 and find the biggest common factor number .

Step-1: Prime Factorization of 7683

Prime factors of 7683 are 3, 13, 197. Prime factorization of 7683 in exponential form is:

7683 = 3¹ × 13¹ × 197¹

Step-2: Prime Factorization of 7696

Prime factors of 7696 are 2, 13, 37. Prime factorization of 7696 in exponential form is:

7696 = 2⁴ × 13¹ × 37¹

Step-3: Factors of 7683

List of positive integer factors of 7683 that divides 7683 without a remainder.

1, 3, 13, 39, 197, 591, 2561

Step-4: Factors of 7696

List of positive integer factors of 7696 that divides 7683 without a remainder.

1, 2, 4, 8, 13, 16, 26, 37, 52, 74, 104, 148, 208, 296, 481, 592, 962, 1924, 3848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7683 and 7696. The biggest common factor number is the GCF number.
So the greatest common factor 7683 and 7696 is 13.

Also check out the Least Common Multiple of 7683 and 7696