What is the Greatest Common Factor of 82668 and 82683?

Greatest common factor (GCF) of 82668 and 82683 is 3.

GCF(82668,82683) = 3

We will now calculate the prime factors of 82668 and 82683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82668 and 82683.

How to find the GCF of 82668 and 82683?

We will first find the prime factorization of 82668 and 82683. After we will calculate the factors of 82668 and 82683 and find the biggest common factor number .

Step-1: Prime Factorization of 82668

Prime factors of 82668 are 2, 3, 83. Prime factorization of 82668 in exponential form is:

82668 = 2² × 3¹ × 83²

Step-2: Prime Factorization of 82683

Prime factors of 82683 are 3, 9187. Prime factorization of 82683 in exponential form is:

82683 = 3² × 9187¹

Step-3: Factors of 82668

List of positive integer factors of 82668 that divides 82668 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996, 6889, 13778, 20667, 27556, 41334

Step-4: Factors of 82683

List of positive integer factors of 82683 that divides 82668 without a remainder.

1, 3, 9, 9187, 27561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82668 and 82683. The biggest common factor number is the GCF number.
So the greatest common factor 82668 and 82683 is 3.

Also check out the Least Common Multiple of 82668 and 82683