What is the Greatest Common Factor of 82812 and 82827?

Greatest common factor (GCF) of 82812 and 82827 is 3.

GCF(82812,82827) = 3

We will now calculate the prime factors of 82812 and 82827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82812 and 82827.

How to find the GCF of 82812 and 82827?

We will first find the prime factorization of 82812 and 82827. After we will calculate the factors of 82812 and 82827 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 82827

Prime factors of 82827 are 3, 9203. Prime factorization of 82827 in exponential form is:

82827 = 3² × 9203¹

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 82827

List of positive integer factors of 82827 that divides 82812 without a remainder.

1, 3, 9, 9203, 27609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82812 and 82827. The biggest common factor number is the GCF number.
So the greatest common factor 82812 and 82827 is 3.

Also check out the Least Common Multiple of 82812 and 82827