What is the Greatest Common Factor of 82014 and 82029?

Greatest common factor (GCF) of 82014 and 82029 is 3.

GCF(82014,82029) = 3

We will now calculate the prime factors of 82014 and 82029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82014 and 82029.

How to find the GCF of 82014 and 82029?

We will first find the prime factorization of 82014 and 82029. After we will calculate the factors of 82014 and 82029 and find the biggest common factor number .

Step-1: Prime Factorization of 82014

Prime factors of 82014 are 2, 3, 13669. Prime factorization of 82014 in exponential form is:

82014 = 2¹ × 3¹ × 13669¹

Step-2: 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-3: Factors of 82014

List of positive integer factors of 82014 that divides 82014 without a remainder.

1, 2, 3, 6, 13669, 27338, 41007

Step-4: Factors of 82029

List of positive integer factors of 82029 that divides 82014 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82014 and 82029. The biggest common factor number is the GCF number.
So the greatest common factor 82014 and 82029 is 3.

Also check out the Least Common Multiple of 82014 and 82029