What is the Greatest Common Factor of 82500 and 82515?

Greatest common factor (GCF) of 82500 and 82515 is 15.

GCF(82500,82515) = 15

We will now calculate the prime factors of 82500 and 82515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82500 and 82515.

How to find the GCF of 82500 and 82515?

We will first find the prime factorization of 82500 and 82515. After we will calculate the factors of 82500 and 82515 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82515

Prime factors of 82515 are 3, 5, 5501. Prime factorization of 82515 in exponential form is:

82515 = 3¹ × 5¹ × 5501¹

Step-3: Factors of 82500

List of positive integer factors of 82500 that divides 82500 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

Step-4: Factors of 82515

List of positive integer factors of 82515 that divides 82500 without a remainder.

1, 3, 5, 15, 5501, 16503, 27505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82500 and 82515. The biggest common factor number is the GCF number.
So the greatest common factor 82500 and 82515 is 15.

Also check out the Least Common Multiple of 82500 and 82515