What is the Greatest Common Factor of 79305 and 79309?

Greatest common factor (GCF) of 79305 and 79309 is 1.

GCF(79305,79309) = 1

We will now calculate the prime factors of 79305 and 79309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79305 and 79309.

How to find the GCF of 79305 and 79309?

We will first find the prime factorization of 79305 and 79309. After we will calculate the factors of 79305 and 79309 and find the biggest common factor number .

Step-1: Prime Factorization of 79305

Prime factors of 79305 are 3, 5, 17, 311. Prime factorization of 79305 in exponential form is:

79305 = 3¹ × 5¹ × 17¹ × 311¹

Step-2: Prime Factorization of 79309

Prime factors of 79309 are 79309. Prime factorization of 79309 in exponential form is:

79309 = 79309¹

Step-3: Factors of 79305

List of positive integer factors of 79305 that divides 79305 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 311, 933, 1555, 4665, 5287, 15861, 26435

Step-4: Factors of 79309

List of positive integer factors of 79309 that divides 79305 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79305 and 79309. The biggest common factor number is the GCF number.
So the greatest common factor 79305 and 79309 is 1.

Also check out the Least Common Multiple of 79305 and 79309