What is the Greatest Common Factor of 76278 and 76296?

Greatest common factor (GCF) of 76278 and 76296 is 6.

GCF(76278,76296) = 6

We will now calculate the prime factors of 76278 and 76296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76278 and 76296.

How to find the GCF of 76278 and 76296?

We will first find the prime factorization of 76278 and 76296. After we will calculate the factors of 76278 and 76296 and find the biggest common factor number .

Step-1: Prime Factorization of 76278

Prime factors of 76278 are 2, 3, 12713. Prime factorization of 76278 in exponential form is:

76278 = 2¹ × 3¹ × 12713¹

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 76278

List of positive integer factors of 76278 that divides 76278 without a remainder.

1, 2, 3, 6, 12713, 25426, 38139

Step-4: Factors of 76296

List of positive integer factors of 76296 that divides 76278 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 76278 and 76296. The biggest common factor number is the GCF number.
So the greatest common factor 76278 and 76296 is 6.

Also check out the Least Common Multiple of 76278 and 76296