What is the Greatest Common Factor of 76488 and 76506?

Greatest common factor (GCF) of 76488 and 76506 is 6.

GCF(76488,76506) = 6

We will now calculate the prime factors of 76488 and 76506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76488 and 76506.

How to find the GCF of 76488 and 76506?

We will first find the prime factorization of 76488 and 76506. After we will calculate the factors of 76488 and 76506 and find the biggest common factor number .

Step-1: Prime Factorization of 76488

Prime factors of 76488 are 2, 3, 3187. Prime factorization of 76488 in exponential form is:

76488 = 2³ × 3¹ × 3187¹

Step-2: Prime Factorization of 76506

Prime factors of 76506 are 2, 3, 41, 311. Prime factorization of 76506 in exponential form is:

76506 = 2¹ × 3¹ × 41¹ × 311¹

Step-3: Factors of 76488

List of positive integer factors of 76488 that divides 76488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3187, 6374, 9561, 12748, 19122, 25496, 38244

Step-4: Factors of 76506

List of positive integer factors of 76506 that divides 76488 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 311, 622, 933, 1866, 12751, 25502, 38253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76488 and 76506. The biggest common factor number is the GCF number.
So the greatest common factor 76488 and 76506 is 6.

Also check out the Least Common Multiple of 76488 and 76506