What is the Greatest Common Factor of 79395 and 79410?

Greatest common factor (GCF) of 79395 and 79410 is 15.

GCF(79395,79410) = 15

We will now calculate the prime factors of 79395 and 79410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79395 and 79410.

How to find the GCF of 79395 and 79410?

We will first find the prime factorization of 79395 and 79410. After we will calculate the factors of 79395 and 79410 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79410

Prime factors of 79410 are 2, 3, 5, 2647. Prime factorization of 79410 in exponential form is:

79410 = 2¹ × 3¹ × 5¹ × 2647¹

Step-3: Factors of 79395

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

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

Step-4: Factors of 79410

List of positive integer factors of 79410 that divides 79395 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2647, 5294, 7941, 13235, 15882, 26470, 39705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79395 and 79410. The biggest common factor number is the GCF number.
So the greatest common factor 79395 and 79410 is 15.

Also check out the Least Common Multiple of 79395 and 79410