What is the Greatest Common Factor of 7683 and 7687?

Greatest common factor (GCF) of 7683 and 7687 is 1.

GCF(7683,7687) = 1

We will now calculate the prime factors of 7683 and 7687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7683 and 7687.

How to find the GCF of 7683 and 7687?

We will first find the prime factorization of 7683 and 7687. After we will calculate the factors of 7683 and 7687 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 7687

Prime factors of 7687 are 7687. Prime factorization of 7687 in exponential form is:

7687 = 7687¹

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 7687

List of positive integer factors of 7687 that divides 7683 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7683 and 7687. The biggest common factor number is the GCF number.
So the greatest common factor 7683 and 7687 is 1.

Also check out the Least Common Multiple of 7683 and 7687