What is the Greatest Common Factor of 84305 and 84325?

Greatest common factor (GCF) of 84305 and 84325 is 5.

GCF(84305,84325) = 5

We will now calculate the prime factors of 84305 and 84325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84305 and 84325.

How to find the GCF of 84305 and 84325?

We will first find the prime factorization of 84305 and 84325. After we will calculate the factors of 84305 and 84325 and find the biggest common factor number .

Step-1: Prime Factorization of 84305

Prime factors of 84305 are 5, 13, 1297. Prime factorization of 84305 in exponential form is:

84305 = 5¹ × 13¹ × 1297¹

Step-2: Prime Factorization of 84325

Prime factors of 84325 are 5, 3373. Prime factorization of 84325 in exponential form is:

84325 = 5² × 3373¹

Step-3: Factors of 84305

List of positive integer factors of 84305 that divides 84305 without a remainder.

1, 5, 13, 65, 1297, 6485, 16861

Step-4: Factors of 84325

List of positive integer factors of 84325 that divides 84305 without a remainder.

1, 5, 25, 3373, 16865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84305 and 84325. The biggest common factor number is the GCF number.
So the greatest common factor 84305 and 84325 is 5.

Also check out the Least Common Multiple of 84305 and 84325