What is the Greatest Common Factor of 82719 and 82734?

Greatest common factor (GCF) of 82719 and 82734 is 3.

GCF(82719,82734) = 3

We will now calculate the prime factors of 82719 and 82734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82719 and 82734.

How to find the GCF of 82719 and 82734?

We will first find the prime factorization of 82719 and 82734. After we will calculate the factors of 82719 and 82734 and find the biggest common factor number .

Step-1: Prime Factorization of 82719

Prime factors of 82719 are 3, 7, 13, 101. Prime factorization of 82719 in exponential form is:

82719 = 3² × 7¹ × 13¹ × 101¹

Step-2: Prime Factorization of 82734

Prime factors of 82734 are 2, 3, 13789. Prime factorization of 82734 in exponential form is:

82734 = 2¹ × 3¹ × 13789¹

Step-3: Factors of 82719

List of positive integer factors of 82719 that divides 82719 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 101, 117, 273, 303, 707, 819, 909, 1313, 2121, 3939, 6363, 9191, 11817, 27573

Step-4: Factors of 82734

List of positive integer factors of 82734 that divides 82719 without a remainder.

1, 2, 3, 6, 13789, 27578, 41367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82719 and 82734. The biggest common factor number is the GCF number.
So the greatest common factor 82719 and 82734 is 3.

Also check out the Least Common Multiple of 82719 and 82734