What is the Greatest Common Factor of 76296 and 76312?

Greatest common factor (GCF) of 76296 and 76312 is 8.

GCF(76296,76312) = 8

We will now calculate the prime factors of 76296 and 76312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76296 and 76312.

How to find the GCF of 76296 and 76312?

We will first find the prime factorization of 76296 and 76312. After we will calculate the factors of 76296 and 76312 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 76312

Prime factors of 76312 are 2, 9539. Prime factorization of 76312 in exponential form is:

76312 = 2³ × 9539¹

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 76312

List of positive integer factors of 76312 that divides 76296 without a remainder.

1, 2, 4, 8, 9539, 19078, 38156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76296 and 76312. The biggest common factor number is the GCF number.
So the greatest common factor 76296 and 76312 is 8.

Also check out the Least Common Multiple of 76296 and 76312