What is the Greatest Common Factor of 79665 and 79683?

Greatest common factor (GCF) of 79665 and 79683 is 3.

GCF(79665,79683) = 3

We will now calculate the prime factors of 79665 and 79683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79665 and 79683.

How to find the GCF of 79665 and 79683?

We will first find the prime factorization of 79665 and 79683. After we will calculate the factors of 79665 and 79683 and find the biggest common factor number .

Step-1: Prime Factorization of 79665

Prime factors of 79665 are 3, 5, 47, 113. Prime factorization of 79665 in exponential form is:

79665 = 3¹ × 5¹ × 47¹ × 113¹

Step-2: Prime Factorization of 79683

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

79683 = 3¹ × 26561¹

Step-3: Factors of 79665

List of positive integer factors of 79665 that divides 79665 without a remainder.

1, 3, 5, 15, 47, 113, 141, 235, 339, 565, 705, 1695, 5311, 15933, 26555

Step-4: Factors of 79683

List of positive integer factors of 79683 that divides 79665 without a remainder.

1, 3, 26561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79665 and 79683. The biggest common factor number is the GCF number.
So the greatest common factor 79665 and 79683 is 3.

Also check out the Least Common Multiple of 79665 and 79683