What is the Greatest Common Factor of 79704 and 79719?

Greatest common factor (GCF) of 79704 and 79719 is 3.

GCF(79704,79719) = 3

We will now calculate the prime factors of 79704 and 79719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79704 and 79719.

How to find the GCF of 79704 and 79719?

We will first find the prime factorization of 79704 and 79719. After we will calculate the factors of 79704 and 79719 and find the biggest common factor number .

Step-1: Prime Factorization of 79704

Prime factors of 79704 are 2, 3, 41. Prime factorization of 79704 in exponential form is:

79704 = 2³ × 3⁵ × 41¹

Step-2: Prime Factorization of 79719

Prime factors of 79719 are 3, 26573. Prime factorization of 79719 in exponential form is:

79719 = 3¹ × 26573¹

Step-3: Factors of 79704

List of positive integer factors of 79704 that divides 79704 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 81, 82, 108, 123, 162, 164, 216, 243, 246, 324, 328, 369, 486, 492, 648, 738, 972, 984, 1107, 1476, 1944, 2214, 2952, 3321, 4428, 6642, 8856, 9963, 13284, 19926, 26568, 39852

Step-4: Factors of 79719

List of positive integer factors of 79719 that divides 79704 without a remainder.

1, 3, 26573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79704 and 79719. The biggest common factor number is the GCF number.
So the greatest common factor 79704 and 79719 is 3.

Also check out the Least Common Multiple of 79704 and 79719