What is the Greatest Common Factor of 81325 and 81335?

Greatest common factor (GCF) of 81325 and 81335 is 5.

GCF(81325,81335) = 5

We will now calculate the prime factors of 81325 and 81335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81325 and 81335.

How to find the GCF of 81325 and 81335?

We will first find the prime factorization of 81325 and 81335. After we will calculate the factors of 81325 and 81335 and find the biggest common factor number .

Step-1: Prime Factorization of 81325

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

81325 = 5² × 3253¹

Step-2: Prime Factorization of 81335

Prime factors of 81335 are 5, 16267. Prime factorization of 81335 in exponential form is:

81335 = 5¹ × 16267¹

Step-3: Factors of 81325

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

1, 5, 25, 3253, 16265

Step-4: Factors of 81335

List of positive integer factors of 81335 that divides 81325 without a remainder.

1, 5, 16267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81325 and 81335. The biggest common factor number is the GCF number.
So the greatest common factor 81325 and 81335 is 5.

Also check out the Least Common Multiple of 81325 and 81335