What is the Greatest Common Factor of 7696 and 7703?

Greatest common factor (GCF) of 7696 and 7703 is 1.

GCF(7696,7703) = 1

We will now calculate the prime factors of 7696 and 7703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7696 and 7703.

How to find the GCF of 7696 and 7703?

We will first find the prime factorization of 7696 and 7703. After we will calculate the factors of 7696 and 7703 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 7703

Prime factors of 7703 are 7703. Prime factorization of 7703 in exponential form is:

7703 = 7703¹

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 7703

List of positive integer factors of 7703 that divides 7696 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7696 and 7703. The biggest common factor number is the GCF number.
So the greatest common factor 7696 and 7703 is 1.

Also check out the Least Common Multiple of 7696 and 7703