What is the Greatest Common Factor of 79335 and 79340?

Greatest common factor (GCF) of 79335 and 79340 is 5.

GCF(79335,79340) = 5

We will now calculate the prime factors of 79335 and 79340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79335 and 79340.

How to find the GCF of 79335 and 79340?

We will first find the prime factorization of 79335 and 79340. After we will calculate the factors of 79335 and 79340 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 79340

Prime factors of 79340 are 2, 5, 3967. Prime factorization of 79340 in exponential form is:

79340 = 2² × 5¹ × 3967¹

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 79340

List of positive integer factors of 79340 that divides 79335 without a remainder.

1, 2, 4, 5, 10, 20, 3967, 7934, 15868, 19835, 39670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79335 and 79340. The biggest common factor number is the GCF number.
So the greatest common factor 79335 and 79340 is 5.

Also check out the Least Common Multiple of 79335 and 79340