What is the Greatest Common Factor of 79704 and 79721?

Greatest common factor (GCF) of 79704 and 79721 is 1.

GCF(79704,79721) = 1

We will now calculate the prime factors of 79704 and 79721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79704 and 79721.

How to find the GCF of 79704 and 79721?

We will first find the prime factorization of 79704 and 79721. After we will calculate the factors of 79704 and 79721 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 79721

Prime factors of 79721 are 29, 2749. Prime factorization of 79721 in exponential form is:

79721 = 29¹ × 2749¹

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 79721

List of positive integer factors of 79721 that divides 79704 without a remainder.

1, 29, 2749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79704 and 79721. The biggest common factor number is the GCF number.
So the greatest common factor 79704 and 79721 is 1.

Also check out the Least Common Multiple of 79704 and 79721