What is the Greatest Common Factor of 82807 and 82824?

Greatest common factor (GCF) of 82807 and 82824 is 17.

GCF(82807,82824) = 17

We will now calculate the prime factors of 82807 and 82824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82807 and 82824.

How to find the GCF of 82807 and 82824?

We will first find the prime factorization of 82807 and 82824. After we will calculate the factors of 82807 and 82824 and find the biggest common factor number .

Step-1: Prime Factorization of 82807

Prime factors of 82807 are 17, 4871. Prime factorization of 82807 in exponential form is:

82807 = 17¹ × 4871¹

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 82807

List of positive integer factors of 82807 that divides 82807 without a remainder.

1, 17, 4871

Step-4: Factors of 82824

List of positive integer factors of 82824 that divides 82807 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 82807 and 82824. The biggest common factor number is the GCF number.
So the greatest common factor 82807 and 82824 is 17.

Also check out the Least Common Multiple of 82807 and 82824