What is the Greatest Common Factor of 79704 and 79711?

Greatest common factor (GCF) of 79704 and 79711 is 1.

GCF(79704,79711) = 1

We will now calculate the prime factors of 79704 and 79711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79704 and 79711.

How to find the GCF of 79704 and 79711?

We will first find the prime factorization of 79704 and 79711. After we will calculate the factors of 79704 and 79711 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 79711

Prime factors of 79711 are 79, 1009. Prime factorization of 79711 in exponential form is:

79711 = 79¹ × 1009¹

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 79711

List of positive integer factors of 79711 that divides 79704 without a remainder.

1, 79, 1009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79704 and 79711. The biggest common factor number is the GCF number.
So the greatest common factor 79704 and 79711 is 1.

Also check out the Least Common Multiple of 79704 and 79711