What is the Greatest Common Factor of 7696 and 7709?

Greatest common factor (GCF) of 7696 and 7709 is 13.

GCF(7696,7709) = 13

We will now calculate the prime factors of 7696 and 7709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7696 and 7709.

How to find the GCF of 7696 and 7709?

We will first find the prime factorization of 7696 and 7709. After we will calculate the factors of 7696 and 7709 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7709

Prime factors of 7709 are 13, 593. Prime factorization of 7709 in exponential form is:

7709 = 13¹ × 593¹

Step-3: Factors of 7696

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

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

Step-4: Factors of 7709

List of positive integer factors of 7709 that divides 7696 without a remainder.

1, 13, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7696 and 7709. The biggest common factor number is the GCF number.
So the greatest common factor 7696 and 7709 is 13.

Also check out the Least Common Multiple of 7696 and 7709