What is the Greatest Common Factor of 78999 and 79017?

Greatest common factor (GCF) of 78999 and 79017 is 3.

GCF(78999,79017) = 3

We will now calculate the prime factors of 78999 and 79017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78999 and 79017.

How to find the GCF of 78999 and 79017?

We will first find the prime factorization of 78999 and 79017. After we will calculate the factors of 78999 and 79017 and find the biggest common factor number .

Step-1: Prime Factorization of 78999

Prime factors of 78999 are 3, 17, 1549. Prime factorization of 78999 in exponential form is:

78999 = 3¹ × 17¹ × 1549¹

Step-2: Prime Factorization of 79017

Prime factors of 79017 are 3, 26339. Prime factorization of 79017 in exponential form is:

79017 = 3¹ × 26339¹

Step-3: Factors of 78999

List of positive integer factors of 78999 that divides 78999 without a remainder.

1, 3, 17, 51, 1549, 4647, 26333

Step-4: Factors of 79017

List of positive integer factors of 79017 that divides 78999 without a remainder.

1, 3, 26339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78999 and 79017. The biggest common factor number is the GCF number.
So the greatest common factor 78999 and 79017 is 3.

Also check out the Least Common Multiple of 78999 and 79017