What is the Greatest Common Factor of 82500 and 82520?

Greatest common factor (GCF) of 82500 and 82520 is 20.

GCF(82500,82520) = 20

We will now calculate the prime factors of 82500 and 82520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82500 and 82520.

How to find the GCF of 82500 and 82520?

We will first find the prime factorization of 82500 and 82520. After we will calculate the factors of 82500 and 82520 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 82520

Prime factors of 82520 are 2, 5, 2063. Prime factorization of 82520 in exponential form is:

82520 = 2³ × 5¹ × 2063¹

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 82520

List of positive integer factors of 82520 that divides 82500 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2063, 4126, 8252, 10315, 16504, 20630, 41260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82500 and 82520. The biggest common factor number is the GCF number.
So the greatest common factor 82500 and 82520 is 20.

Also check out the Least Common Multiple of 82500 and 82520