What is the Greatest Common Factor of 76500 and 76518?

Greatest common factor (GCF) of 76500 and 76518 is 18.

GCF(76500,76518) = 18

We will now calculate the prime factors of 76500 and 76518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76500 and 76518.

How to find the GCF of 76500 and 76518?

We will first find the prime factorization of 76500 and 76518. After we will calculate the factors of 76500 and 76518 and find the biggest common factor number .

Step-1: Prime Factorization of 76500

Prime factors of 76500 are 2, 3, 5, 17. Prime factorization of 76500 in exponential form is:

76500 = 2² × 3² × 5³ × 17¹

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 76500

List of positive integer factors of 76500 that divides 76500 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 25, 30, 34, 36, 45, 50, 51, 60, 68, 75, 85, 90, 100, 102, 125, 150, 153, 170, 180, 204, 225, 250, 255, 300, 306, 340, 375, 425, 450, 500, 510, 612, 750, 765, 850, 900, 1020, 1125, 1275, 1500, 1530, 1700, 2125, 2250, 2550, 3060, 3825, 4250, 4500, 5100, 6375, 7650, 8500, 12750, 15300, 19125, 25500, 38250

Step-4: Factors of 76518

List of positive integer factors of 76518 that divides 76500 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 76500 and 76518. The biggest common factor number is the GCF number.
So the greatest common factor 76500 and 76518 is 18.

Also check out the Least Common Multiple of 76500 and 76518