What is the Greatest Common Factor of 82803 and 82812?

Greatest common factor (GCF) of 82803 and 82812 is 3.

GCF(82803,82812) = 3

We will now calculate the prime factors of 82803 and 82812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82803 and 82812.

How to find the GCF of 82803 and 82812?

We will first find the prime factorization of 82803 and 82812. After we will calculate the factors of 82803 and 82812 and find the biggest common factor number .

Step-1: Prime Factorization of 82803

Prime factors of 82803 are 3, 7, 3943. Prime factorization of 82803 in exponential form is:

82803 = 3¹ × 7¹ × 3943¹

Step-2: 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-3: Factors of 82803

List of positive integer factors of 82803 that divides 82803 without a remainder.

1, 3, 7, 21, 3943, 11829, 27601

Step-4: Factors of 82812

List of positive integer factors of 82812 that divides 82803 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82803 and 82812. The biggest common factor number is the GCF number.
So the greatest common factor 82803 and 82812 is 3.

Also check out the Least Common Multiple of 82803 and 82812