What is the Greatest Common Factor of 7696 and 7711?

Greatest common factor (GCF) of 7696 and 7711 is 1.

GCF(7696,7711) = 1

We will now calculate the prime factors of 7696 and 7711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7696 and 7711.

How to find the GCF of 7696 and 7711?

We will first find the prime factorization of 7696 and 7711. After we will calculate the factors of 7696 and 7711 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 7711

Prime factors of 7711 are 11, 701. Prime factorization of 7711 in exponential form is:

7711 = 11¹ × 701¹

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 7711

List of positive integer factors of 7711 that divides 7696 without a remainder.

1, 11, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7696 and 7711. The biggest common factor number is the GCF number.
So the greatest common factor 7696 and 7711 is 1.

Also check out the Least Common Multiple of 7696 and 7711