What is the Greatest Common Factor of 79305 and 79325?

Greatest common factor (GCF) of 79305 and 79325 is 5.

GCF(79305,79325) = 5

We will now calculate the prime factors of 79305 and 79325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79305 and 79325.

How to find the GCF of 79305 and 79325?

We will first find the prime factorization of 79305 and 79325. After we will calculate the factors of 79305 and 79325 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 79325

Prime factors of 79325 are 5, 19, 167. Prime factorization of 79325 in exponential form is:

79325 = 5² × 19¹ × 167¹

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 79325

List of positive integer factors of 79325 that divides 79305 without a remainder.

1, 5, 19, 25, 95, 167, 475, 835, 3173, 4175, 15865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79305 and 79325. The biggest common factor number is the GCF number.
So the greatest common factor 79305 and 79325 is 5.

Also check out the Least Common Multiple of 79305 and 79325