What is the Greatest Common Factor of 82824 and 82844?

Greatest common factor (GCF) of 82824 and 82844 is 4.

GCF(82824,82844) = 4

We will now calculate the prime factors of 82824 and 82844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82824 and 82844.

How to find the GCF of 82824 and 82844?

We will first find the prime factorization of 82824 and 82844. After we will calculate the factors of 82824 and 82844 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 82844

Prime factors of 82844 are 2, 139, 149. Prime factorization of 82844 in exponential form is:

82844 = 2² × 139¹ × 149¹

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 82844

List of positive integer factors of 82844 that divides 82824 without a remainder.

1, 2, 4, 139, 149, 278, 298, 556, 596, 20711, 41422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82824 and 82844. The biggest common factor number is the GCF number.
So the greatest common factor 82824 and 82844 is 4.

Also check out the Least Common Multiple of 82824 and 82844