What is the Greatest Common Factor of 82880 and 82900?

Greatest common factor (GCF) of 82880 and 82900 is 20.

GCF(82880,82900) = 20

We will now calculate the prime factors of 82880 and 82900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82880 and 82900.

How to find the GCF of 82880 and 82900?

We will first find the prime factorization of 82880 and 82900. After we will calculate the factors of 82880 and 82900 and find the biggest common factor number .

Step-1: Prime Factorization of 82880

Prime factors of 82880 are 2, 5, 7, 37. Prime factorization of 82880 in exponential form is:

82880 = 2⁶ × 5¹ × 7¹ × 37¹

Step-2: Prime Factorization of 82900

Prime factors of 82900 are 2, 5, 829. Prime factorization of 82900 in exponential form is:

82900 = 2² × 5² × 829¹

Step-3: Factors of 82880

List of positive integer factors of 82880 that divides 82880 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 37, 40, 56, 64, 70, 74, 80, 112, 140, 148, 160, 185, 224, 259, 280, 296, 320, 370, 448, 518, 560, 592, 740, 1036, 1120, 1184, 1295, 1480, 2072, 2240, 2368, 2590, 2960, 4144, 5180, 5920, 8288, 10360, 11840, 16576, 20720, 41440

Step-4: Factors of 82900

List of positive integer factors of 82900 that divides 82880 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 829, 1658, 3316, 4145, 8290, 16580, 20725, 41450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82880 and 82900. The biggest common factor number is the GCF number.
So the greatest common factor 82880 and 82900 is 20.

Also check out the Least Common Multiple of 82880 and 82900