What is the Greatest Common Factor of 76284 and 76296?

Greatest common factor (GCF) of 76284 and 76296 is 12.

GCF(76284,76296) = 12

We will now calculate the prime factors of 76284 and 76296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76284 and 76296.

How to find the GCF of 76284 and 76296?

We will first find the prime factorization of 76284 and 76296. After we will calculate the factors of 76284 and 76296 and find the biggest common factor number .

Step-1: Prime Factorization of 76284

Prime factors of 76284 are 2, 3, 13, 163. Prime factorization of 76284 in exponential form is:

76284 = 2² × 3² × 13¹ × 163¹

Step-2: 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-3: Factors of 76284

List of positive integer factors of 76284 that divides 76284 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 163, 234, 326, 468, 489, 652, 978, 1467, 1956, 2119, 2934, 4238, 5868, 6357, 8476, 12714, 19071, 25428, 38142

Step-4: Factors of 76296

List of positive integer factors of 76296 that divides 76284 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76284 and 76296. The biggest common factor number is the GCF number.
So the greatest common factor 76284 and 76296 is 12.

Also check out the Least Common Multiple of 76284 and 76296