What is the Greatest Common Factor of 82488 and 82500?

Greatest common factor (GCF) of 82488 and 82500 is 12.

GCF(82488,82500) = 12

We will now calculate the prime factors of 82488 and 82500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82488 and 82500.

How to find the GCF of 82488 and 82500?

We will first find the prime factorization of 82488 and 82500. After we will calculate the factors of 82488 and 82500 and find the biggest common factor number .

Step-1: Prime Factorization of 82488

Prime factors of 82488 are 2, 3, 7, 491. Prime factorization of 82488 in exponential form is:

82488 = 2³ × 3¹ × 7¹ × 491¹

Step-2: Prime Factorization of 82500

Prime factors of 82500 are 2, 3, 5, 11. Prime factorization of 82500 in exponential form is:

82500 = 2² × 3¹ × 5⁴ × 11¹

Step-3: Factors of 82488

List of positive integer factors of 82488 that divides 82488 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 491, 982, 1473, 1964, 2946, 3437, 3928, 5892, 6874, 10311, 11784, 13748, 20622, 27496, 41244

Step-4: Factors of 82500

List of positive integer factors of 82500 that divides 82488 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 125, 132, 150, 165, 220, 250, 275, 300, 330, 375, 500, 550, 625, 660, 750, 825, 1100, 1250, 1375, 1500, 1650, 1875, 2500, 2750, 3300, 3750, 4125, 5500, 6875, 7500, 8250, 13750, 16500, 20625, 27500, 41250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82488 and 82500. The biggest common factor number is the GCF number.
So the greatest common factor 82488 and 82500 is 12.

Also check out the Least Common Multiple of 82488 and 82500