What is the Greatest Common Factor of 81305 and 81325?

Greatest common factor (GCF) of 81305 and 81325 is 5.

GCF(81305,81325) = 5

We will now calculate the prime factors of 81305 and 81325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81305 and 81325.

How to find the GCF of 81305 and 81325?

We will first find the prime factorization of 81305 and 81325. After we will calculate the factors of 81305 and 81325 and find the biggest common factor number .

Step-1: Prime Factorization of 81305

Prime factors of 81305 are 5, 7, 23, 101. Prime factorization of 81305 in exponential form is:

81305 = 5¹ × 7¹ × 23¹ × 101¹

Step-2: Prime Factorization of 81325

Prime factors of 81325 are 5, 3253. Prime factorization of 81325 in exponential form is:

81325 = 5² × 3253¹

Step-3: Factors of 81305

List of positive integer factors of 81305 that divides 81305 without a remainder.

1, 5, 7, 23, 35, 101, 115, 161, 505, 707, 805, 2323, 3535, 11615, 16261

Step-4: Factors of 81325

List of positive integer factors of 81325 that divides 81305 without a remainder.

1, 5, 25, 3253, 16265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81305 and 81325. The biggest common factor number is the GCF number.
So the greatest common factor 81305 and 81325 is 5.

Also check out the Least Common Multiple of 81305 and 81325