What is the Greatest Common Factor of 82719 and 82732?

Greatest common factor (GCF) of 82719 and 82732 is 13.

GCF(82719,82732) = 13

We will now calculate the prime factors of 82719 and 82732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82719 and 82732.

How to find the GCF of 82719 and 82732?

We will first find the prime factorization of 82719 and 82732. After we will calculate the factors of 82719 and 82732 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 82732

Prime factors of 82732 are 2, 13, 37, 43. Prime factorization of 82732 in exponential form is:

82732 = 2² × 13¹ × 37¹ × 43¹

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 82732

List of positive integer factors of 82732 that divides 82719 without a remainder.

1, 2, 4, 13, 26, 37, 43, 52, 74, 86, 148, 172, 481, 559, 962, 1118, 1591, 1924, 2236, 3182, 6364, 20683, 41366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82719 and 82732. The biggest common factor number is the GCF number.
So the greatest common factor 82719 and 82732 is 13.

Also check out the Least Common Multiple of 82719 and 82732