What is the Greatest Common Factor of 82812 and 82829?

Greatest common factor (GCF) of 82812 and 82829 is 1.

GCF(82812,82829) = 1

We will now calculate the prime factors of 82812 and 82829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82812 and 82829.

How to find the GCF of 82812 and 82829?

We will first find the prime factorization of 82812 and 82829. After we will calculate the factors of 82812 and 82829 and find the biggest common factor number .

Step-1: Prime Factorization of 82812

Prime factors of 82812 are 2, 3, 67, 103. Prime factorization of 82812 in exponential form is:

82812 = 2² × 3¹ × 67¹ × 103¹

Step-2: Prime Factorization of 82829

Prime factors of 82829 are 113, 733. Prime factorization of 82829 in exponential form is:

82829 = 113¹ × 733¹

Step-3: Factors of 82812

List of positive integer factors of 82812 that divides 82812 without a remainder.

1, 2, 3, 4, 6, 12, 67, 103, 134, 201, 206, 268, 309, 402, 412, 618, 804, 1236, 6901, 13802, 20703, 27604, 41406

Step-4: Factors of 82829

List of positive integer factors of 82829 that divides 82812 without a remainder.

1, 113, 733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82812 and 82829. The biggest common factor number is the GCF number.
So the greatest common factor 82812 and 82829 is 1.

Also check out the Least Common Multiple of 82812 and 82829