What is the Greatest Common Factor of 82677 and 82683?

Greatest common factor (GCF) of 82677 and 82683 is 3.

GCF(82677,82683) = 3

We will now calculate the prime factors of 82677 and 82683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82677 and 82683.

How to find the GCF of 82677 and 82683?

We will first find the prime factorization of 82677 and 82683. After we will calculate the factors of 82677 and 82683 and find the biggest common factor number .

Step-1: Prime Factorization of 82677

Prime factors of 82677 are 3, 7, 31, 127. Prime factorization of 82677 in exponential form is:

82677 = 3¹ × 7¹ × 31¹ × 127¹

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 82677

List of positive integer factors of 82677 that divides 82677 without a remainder.

1, 3, 7, 21, 31, 93, 127, 217, 381, 651, 889, 2667, 3937, 11811, 27559

Step-4: Factors of 82683

List of positive integer factors of 82683 that divides 82677 without a remainder.

1, 3, 9, 9187, 27561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82677 and 82683. The biggest common factor number is the GCF number.
So the greatest common factor 82677 and 82683 is 3.

Also check out the Least Common Multiple of 82677 and 82683