What is the Greatest Common Factor of 76584 and 76596?

Greatest common factor (GCF) of 76584 and 76596 is 12.

GCF(76584,76596) = 12

We will now calculate the prime factors of 76584 and 76596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76584 and 76596.

How to find the GCF of 76584 and 76596?

We will first find the prime factorization of 76584 and 76596. After we will calculate the factors of 76584 and 76596 and find the biggest common factor number .

Step-1: Prime Factorization of 76584

Prime factors of 76584 are 2, 3, 3191. Prime factorization of 76584 in exponential form is:

76584 = 2³ × 3¹ × 3191¹

Step-2: 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-3: Factors of 76584

List of positive integer factors of 76584 that divides 76584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3191, 6382, 9573, 12764, 19146, 25528, 38292

Step-4: Factors of 76596

List of positive integer factors of 76596 that divides 76584 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76584 and 76596. The biggest common factor number is the GCF number.
So the greatest common factor 76584 and 76596 is 12.

Also check out the Least Common Multiple of 76584 and 76596