What is the Greatest Common Factor of 82505 and 82525?

Greatest common factor (GCF) of 82505 and 82525 is 5.

GCF(82505,82525) = 5

We will now calculate the prime factors of 82505 and 82525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82505 and 82525.

How to find the GCF of 82505 and 82525?

We will first find the prime factorization of 82505 and 82525. After we will calculate the factors of 82505 and 82525 and find the biggest common factor number .

Step-1: Prime Factorization of 82505

Prime factors of 82505 are 5, 29, 569. Prime factorization of 82505 in exponential form is:

82505 = 5¹ × 29¹ × 569¹

Step-2: Prime Factorization of 82525

Prime factors of 82525 are 5, 3301. Prime factorization of 82525 in exponential form is:

82525 = 5² × 3301¹

Step-3: Factors of 82505

List of positive integer factors of 82505 that divides 82505 without a remainder.

1, 5, 29, 145, 569, 2845, 16501

Step-4: Factors of 82525

List of positive integer factors of 82525 that divides 82505 without a remainder.

1, 5, 25, 3301, 16505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82505 and 82525. The biggest common factor number is the GCF number.
So the greatest common factor 82505 and 82525 is 5.

Also check out the Least Common Multiple of 82505 and 82525