What is the Greatest Common Factor of 82709 and 82719?

Greatest common factor (GCF) of 82709 and 82719 is 1.

GCF(82709,82719) = 1

We will now calculate the prime factors of 82709 and 82719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82709 and 82719.

How to find the GCF of 82709 and 82719?

We will first find the prime factorization of 82709 and 82719. After we will calculate the factors of 82709 and 82719 and find the biggest common factor number .

Step-1: Prime Factorization of 82709

Prime factors of 82709 are 11, 73, 103. Prime factorization of 82709 in exponential form is:

82709 = 11¹ × 73¹ × 103¹

Step-2: 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-3: Factors of 82709

List of positive integer factors of 82709 that divides 82709 without a remainder.

1, 11, 73, 103, 803, 1133, 7519

Step-4: Factors of 82719

List of positive integer factors of 82719 that divides 82709 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82709 and 82719. The biggest common factor number is the GCF number.
So the greatest common factor 82709 and 82719 is 1.

Also check out the Least Common Multiple of 82709 and 82719