What is the Greatest Common Factor of 7699 and 7709?

Greatest common factor (GCF) of 7699 and 7709 is 1.

GCF(7699,7709) = 1

We will now calculate the prime factors of 7699 and 7709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7699 and 7709.

How to find the GCF of 7699 and 7709?

We will first find the prime factorization of 7699 and 7709. After we will calculate the factors of 7699 and 7709 and find the biggest common factor number .

Step-1: Prime Factorization of 7699

Prime factors of 7699 are 7699. Prime factorization of 7699 in exponential form is:

7699 = 7699¹

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 7699

List of positive integer factors of 7699 that divides 7699 without a remainder.

Step-4: Factors of 7709

List of positive integer factors of 7709 that divides 7699 without a remainder.

1, 13, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7699 and 7709. The biggest common factor number is the GCF number.
So the greatest common factor 7699 and 7709 is 1.

Also check out the Least Common Multiple of 7699 and 7709