What is the Greatest Common Factor of 82719 and 82738?

Greatest common factor (GCF) of 82719 and 82738 is 1.

GCF(82719,82738) = 1

We will now calculate the prime factors of 82719 and 82738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82719 and 82738.

How to find the GCF of 82719 and 82738?

We will first find the prime factorization of 82719 and 82738. After we will calculate the factors of 82719 and 82738 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 82738

Prime factors of 82738 are 2, 41, 1009. Prime factorization of 82738 in exponential form is:

82738 = 2¹ × 41¹ × 1009¹

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 82738

List of positive integer factors of 82738 that divides 82719 without a remainder.

1, 2, 41, 82, 1009, 2018, 41369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82719 and 82738. The biggest common factor number is the GCF number.
So the greatest common factor 82719 and 82738 is 1.

Also check out the Least Common Multiple of 82719 and 82738