What is the Greatest Common Factor of 76596 and 76613?

Greatest common factor (GCF) of 76596 and 76613 is 1.

GCF(76596,76613) = 1

We will now calculate the prime factors of 76596 and 76613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76596 and 76613.

How to find the GCF of 76596 and 76613?

We will first find the prime factorization of 76596 and 76613. After we will calculate the factors of 76596 and 76613 and find the biggest common factor number .

Step-1: Prime Factorization of 76596

Prime factors of 76596 are 2, 3, 13, 491. Prime factorization of 76596 in exponential form is:

76596 = 2² × 3¹ × 13¹ × 491¹

Step-2: Prime Factorization of 76613

Prime factors of 76613 are 23, 3331. Prime factorization of 76613 in exponential form is:

76613 = 23¹ × 3331¹

Step-3: Factors of 76596

List of positive integer factors of 76596 that divides 76596 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 491, 982, 1473, 1964, 2946, 5892, 6383, 12766, 19149, 25532, 38298

Step-4: Factors of 76613

List of positive integer factors of 76613 that divides 76596 without a remainder.

1, 23, 3331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76596 and 76613. The biggest common factor number is the GCF number.
So the greatest common factor 76596 and 76613 is 1.

Also check out the Least Common Multiple of 76596 and 76613