What is the Greatest Common Factor of 76596 and 76616?

Greatest common factor (GCF) of 76596 and 76616 is 4.

GCF(76596,76616) = 4

We will now calculate the prime factors of 76596 and 76616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76596 and 76616.

How to find the GCF of 76596 and 76616?

We will first find the prime factorization of 76596 and 76616. After we will calculate the factors of 76596 and 76616 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 76616

Prime factors of 76616 are 2, 61, 157. Prime factorization of 76616 in exponential form is:

76616 = 2³ × 61¹ × 157¹

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 76616

List of positive integer factors of 76616 that divides 76596 without a remainder.

1, 2, 4, 8, 61, 122, 157, 244, 314, 488, 628, 1256, 9577, 19154, 38308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76596 and 76616. The biggest common factor number is the GCF number.
So the greatest common factor 76596 and 76616 is 4.

Also check out the Least Common Multiple of 76596 and 76616