What is the Greatest Common Factor of 82809 and 82824?

Greatest common factor (GCF) of 82809 and 82824 is 3.

GCF(82809,82824) = 3

We will now calculate the prime factors of 82809 and 82824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82809 and 82824.

How to find the GCF of 82809 and 82824?

We will first find the prime factorization of 82809 and 82824. After we will calculate the factors of 82809 and 82824 and find the biggest common factor number .

Step-1: Prime Factorization of 82809

Prime factors of 82809 are 3, 3067. Prime factorization of 82809 in exponential form is:

82809 = 3³ × 3067¹

Step-2: Prime Factorization of 82824

Prime factors of 82824 are 2, 3, 7, 17, 29. Prime factorization of 82824 in exponential form is:

82824 = 2³ × 3¹ × 7¹ × 17¹ × 29¹

Step-3: Factors of 82809

List of positive integer factors of 82809 that divides 82809 without a remainder.

1, 3, 9, 27, 3067, 9201, 27603

Step-4: Factors of 82824

List of positive integer factors of 82824 that divides 82809 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 29, 34, 42, 51, 56, 58, 68, 84, 87, 102, 116, 119, 136, 168, 174, 203, 204, 232, 238, 348, 357, 406, 408, 476, 493, 609, 696, 714, 812, 952, 986, 1218, 1428, 1479, 1624, 1972, 2436, 2856, 2958, 3451, 3944, 4872, 5916, 6902, 10353, 11832, 13804, 20706, 27608, 41412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82809 and 82824. The biggest common factor number is the GCF number.
So the greatest common factor 82809 and 82824 is 3.

Also check out the Least Common Multiple of 82809 and 82824