What is the Greatest Common Factor of 79695 and 79704?

Greatest common factor (GCF) of 79695 and 79704 is 9.

GCF(79695,79704) = 9

We will now calculate the prime factors of 79695 and 79704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79695 and 79704.

How to find the GCF of 79695 and 79704?

We will first find the prime factorization of 79695 and 79704. After we will calculate the factors of 79695 and 79704 and find the biggest common factor number .

Step-1: Prime Factorization of 79695

Prime factors of 79695 are 3, 5, 7, 11, 23. Prime factorization of 79695 in exponential form is:

79695 = 3² × 5¹ × 7¹ × 11¹ × 23¹

Step-2: 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-3: Factors of 79695

List of positive integer factors of 79695 that divides 79695 without a remainder.

1, 3, 5, 7, 9, 11, 15, 21, 23, 33, 35, 45, 55, 63, 69, 77, 99, 105, 115, 161, 165, 207, 231, 253, 315, 345, 385, 483, 495, 693, 759, 805, 1035, 1155, 1265, 1449, 1771, 2277, 2415, 3465, 3795, 5313, 7245, 8855, 11385, 15939, 26565

Step-4: Factors of 79704

List of positive integer factors of 79704 that divides 79695 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79695 and 79704. The biggest common factor number is the GCF number.
So the greatest common factor 79695 and 79704 is 9.

Also check out the Least Common Multiple of 79695 and 79704