What is the Greatest Common Factor of 82824 and 82838?

Greatest common factor (GCF) of 82824 and 82838 is 14.

GCF(82824,82838) = 14

We will now calculate the prime factors of 82824 and 82838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82824 and 82838.

How to find the GCF of 82824 and 82838?

We will first find the prime factorization of 82824 and 82838. After we will calculate the factors of 82824 and 82838 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82838

Prime factors of 82838 are 2, 7, 61, 97. Prime factorization of 82838 in exponential form is:

82838 = 2¹ × 7¹ × 61¹ × 97¹

Step-3: Factors of 82824

List of positive integer factors of 82824 that divides 82824 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

Step-4: Factors of 82838

List of positive integer factors of 82838 that divides 82824 without a remainder.

1, 2, 7, 14, 61, 97, 122, 194, 427, 679, 854, 1358, 5917, 11834, 41419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82824 and 82838. The biggest common factor number is the GCF number.
So the greatest common factor 82824 and 82838 is 14.

Also check out the Least Common Multiple of 82824 and 82838