What is the Greatest Common Factor of 79335 and 79353?

Greatest common factor (GCF) of 79335 and 79353 is 9.

GCF(79335,79353) = 9

We will now calculate the prime factors of 79335 and 79353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79335 and 79353.

How to find the GCF of 79335 and 79353?

We will first find the prime factorization of 79335 and 79353. After we will calculate the factors of 79335 and 79353 and find the biggest common factor number .

Step-1: Prime Factorization of 79335

Prime factors of 79335 are 3, 5, 41, 43. Prime factorization of 79335 in exponential form is:

79335 = 3² × 5¹ × 41¹ × 43¹

Step-2: Prime Factorization of 79353

Prime factors of 79353 are 3, 2939. Prime factorization of 79353 in exponential form is:

79353 = 3³ × 2939¹

Step-3: Factors of 79335

List of positive integer factors of 79335 that divides 79335 without a remainder.

1, 3, 5, 9, 15, 41, 43, 45, 123, 129, 205, 215, 369, 387, 615, 645, 1763, 1845, 1935, 5289, 8815, 15867, 26445

Step-4: Factors of 79353

List of positive integer factors of 79353 that divides 79335 without a remainder.

1, 3, 9, 27, 2939, 8817, 26451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79335 and 79353. The biggest common factor number is the GCF number.
So the greatest common factor 79335 and 79353 is 9.

Also check out the Least Common Multiple of 79335 and 79353