What is the Greatest Common Factor of 79695 and 79715?

Greatest common factor (GCF) of 79695 and 79715 is 5.

GCF(79695,79715) = 5

We will now calculate the prime factors of 79695 and 79715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79695 and 79715.

How to find the GCF of 79695 and 79715?

We will first find the prime factorization of 79695 and 79715. After we will calculate the factors of 79695 and 79715 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 79715

Prime factors of 79715 are 5, 107, 149. Prime factorization of 79715 in exponential form is:

79715 = 5¹ × 107¹ × 149¹

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 79715

List of positive integer factors of 79715 that divides 79695 without a remainder.

1, 5, 107, 149, 535, 745, 15943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79695 and 79715. The biggest common factor number is the GCF number.
So the greatest common factor 79695 and 79715 is 5.

Also check out the Least Common Multiple of 79695 and 79715