What is the Greatest Common Factor of 76296 and 76310?

Greatest common factor (GCF) of 76296 and 76310 is 2.

GCF(76296,76310) = 2

We will now calculate the prime factors of 76296 and 76310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76296 and 76310.

How to find the GCF of 76296 and 76310?

We will first find the prime factorization of 76296 and 76310. After we will calculate the factors of 76296 and 76310 and find the biggest common factor number .

Step-1: Prime Factorization of 76296

Prime factors of 76296 are 2, 3, 11, 17. Prime factorization of 76296 in exponential form is:

76296 = 2³ × 3¹ × 11¹ × 17²

Step-2: Prime Factorization of 76310

Prime factors of 76310 are 2, 5, 13, 587. Prime factorization of 76310 in exponential form is:

76310 = 2¹ × 5¹ × 13¹ × 587¹

Step-3: Factors of 76296

List of positive integer factors of 76296 that divides 76296 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 289, 374, 408, 561, 578, 748, 867, 1122, 1156, 1496, 1734, 2244, 2312, 3179, 3468, 4488, 6358, 6936, 9537, 12716, 19074, 25432, 38148

Step-4: Factors of 76310

List of positive integer factors of 76310 that divides 76296 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 587, 1174, 2935, 5870, 7631, 15262, 38155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76296 and 76310. The biggest common factor number is the GCF number.
So the greatest common factor 76296 and 76310 is 2.

Also check out the Least Common Multiple of 76296 and 76310