What is the Greatest Common Factor of 79695 and 79706?

Greatest common factor (GCF) of 79695 and 79706 is 11.

GCF(79695,79706) = 11

We will now calculate the prime factors of 79695 and 79706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79695 and 79706.

How to find the GCF of 79695 and 79706?

We will first find the prime factorization of 79695 and 79706. After we will calculate the factors of 79695 and 79706 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 79706

Prime factors of 79706 are 2, 11, 3623. Prime factorization of 79706 in exponential form is:

79706 = 2¹ × 11¹ × 3623¹

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 79706

List of positive integer factors of 79706 that divides 79695 without a remainder.

1, 2, 11, 22, 3623, 7246, 39853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79695 and 79706. The biggest common factor number is the GCF number.
So the greatest common factor 79695 and 79706 is 11.

Also check out the Least Common Multiple of 79695 and 79706