What is the Greatest Common Factor of 79389 and 79395?

Greatest common factor (GCF) of 79389 and 79395 is 3.

GCF(79389,79395) = 3

We will now calculate the prime factors of 79389 and 79395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79389 and 79395.

How to find the GCF of 79389 and 79395?

We will first find the prime factorization of 79389 and 79395. After we will calculate the factors of 79389 and 79395 and find the biggest common factor number .

Step-1: Prime Factorization of 79389

Prime factors of 79389 are 3, 8821. Prime factorization of 79389 in exponential form is:

79389 = 3² × 8821¹

Step-2: Prime Factorization of 79395

Prime factors of 79395 are 3, 5, 67, 79. Prime factorization of 79395 in exponential form is:

79395 = 3¹ × 5¹ × 67¹ × 79¹

Step-3: Factors of 79389

List of positive integer factors of 79389 that divides 79389 without a remainder.

1, 3, 9, 8821, 26463

Step-4: Factors of 79395

List of positive integer factors of 79395 that divides 79389 without a remainder.

1, 3, 5, 15, 67, 79, 201, 237, 335, 395, 1005, 1185, 5293, 15879, 26465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79389 and 79395. The biggest common factor number is the GCF number.
So the greatest common factor 79389 and 79395 is 3.

Also check out the Least Common Multiple of 79389 and 79395