What is the Greatest Common Factor of 79335 and 79339?

Greatest common factor (GCF) of 79335 and 79339 is 1.

GCF(79335,79339) = 1

We will now calculate the prime factors of 79335 and 79339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79335 and 79339.

How to find the GCF of 79335 and 79339?

We will first find the prime factorization of 79335 and 79339. After we will calculate the factors of 79335 and 79339 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 79339

Prime factors of 79339 are 13, 17, 359. Prime factorization of 79339 in exponential form is:

79339 = 13¹ × 17¹ × 359¹

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 79339

List of positive integer factors of 79339 that divides 79335 without a remainder.

1, 13, 17, 221, 359, 4667, 6103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79335 and 79339. The biggest common factor number is the GCF number.
So the greatest common factor 79335 and 79339 is 1.

Also check out the Least Common Multiple of 79335 and 79339