What is the Greatest Common Factor of 76506 and 76518?

Greatest common factor (GCF) of 76506 and 76518 is 6.

GCF(76506,76518) = 6

We will now calculate the prime factors of 76506 and 76518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76506 and 76518.

How to find the GCF of 76506 and 76518?

We will first find the prime factorization of 76506 and 76518. After we will calculate the factors of 76506 and 76518 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76518

Prime factors of 76518 are 2, 3, 13, 109. Prime factorization of 76518 in exponential form is:

76518 = 2¹ × 3³ × 13¹ × 109¹

Step-3: Factors of 76506

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

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

Step-4: Factors of 76518

List of positive integer factors of 76518 that divides 76506 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 109, 117, 218, 234, 327, 351, 654, 702, 981, 1417, 1962, 2834, 2943, 4251, 5886, 8502, 12753, 25506, 38259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76506 and 76518. The biggest common factor number is the GCF number.
So the greatest common factor 76506 and 76518 is 6.

Also check out the Least Common Multiple of 76506 and 76518