What is the Greatest Common Factor of 79683 and 79698?

Greatest common factor (GCF) of 79683 and 79698 is 3.

GCF(79683,79698) = 3

We will now calculate the prime factors of 79683 and 79698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79683 and 79698.

How to find the GCF of 79683 and 79698?

We will first find the prime factorization of 79683 and 79698. After we will calculate the factors of 79683 and 79698 and find the biggest common factor number .

Step-1: Prime Factorization of 79683

Prime factors of 79683 are 3, 26561. Prime factorization of 79683 in exponential form is:

79683 = 3¹ × 26561¹

Step-2: Prime Factorization of 79698

Prime factors of 79698 are 2, 3, 37, 359. Prime factorization of 79698 in exponential form is:

79698 = 2¹ × 3¹ × 37¹ × 359¹

Step-3: Factors of 79683

List of positive integer factors of 79683 that divides 79683 without a remainder.

1, 3, 26561

Step-4: Factors of 79698

List of positive integer factors of 79698 that divides 79683 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 359, 718, 1077, 2154, 13283, 26566, 39849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79683 and 79698. The biggest common factor number is the GCF number.
So the greatest common factor 79683 and 79698 is 3.

Also check out the Least Common Multiple of 79683 and 79698