What is the Greatest Common Factor of 76488 and 76500?

Greatest common factor (GCF) of 76488 and 76500 is 12.

GCF(76488,76500) = 12

We will now calculate the prime factors of 76488 and 76500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76488 and 76500.

How to find the GCF of 76488 and 76500?

We will first find the prime factorization of 76488 and 76500. After we will calculate the factors of 76488 and 76500 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 76500

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

76500 = 2² × 3² × 5³ × 17¹

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 76500

List of positive integer factors of 76500 that divides 76488 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76488 and 76500. The biggest common factor number is the GCF number.
So the greatest common factor 76488 and 76500 is 12.

Also check out the Least Common Multiple of 76488 and 76500