What is the Greatest Common Factor of 82029 and 82044?

Greatest common factor (GCF) of 82029 and 82044 is 3.

GCF(82029,82044) = 3

We will now calculate the prime factors of 82029 and 82044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82029 and 82044.

How to find the GCF of 82029 and 82044?

We will first find the prime factorization of 82029 and 82044. After we will calculate the factors of 82029 and 82044 and find the biggest common factor number .

Step-1: Prime Factorization of 82029

Prime factors of 82029 are 3, 37, 739. Prime factorization of 82029 in exponential form is:

82029 = 3¹ × 37¹ × 739¹

Step-2: Prime Factorization of 82044

Prime factors of 82044 are 2, 3, 43, 53. Prime factorization of 82044 in exponential form is:

82044 = 2² × 3² × 43¹ × 53¹

Step-3: Factors of 82029

List of positive integer factors of 82029 that divides 82029 without a remainder.

1, 3, 37, 111, 739, 2217, 27343

Step-4: Factors of 82044

List of positive integer factors of 82044 that divides 82029 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 53, 86, 106, 129, 159, 172, 212, 258, 318, 387, 477, 516, 636, 774, 954, 1548, 1908, 2279, 4558, 6837, 9116, 13674, 20511, 27348, 41022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82029 and 82044. The biggest common factor number is the GCF number.
So the greatest common factor 82029 and 82044 is 3.

Also check out the Least Common Multiple of 82029 and 82044