What is the Greatest Common Factor of 82575 and 82585?

Greatest common factor (GCF) of 82575 and 82585 is 5.

GCF(82575,82585) = 5

We will now calculate the prime factors of 82575 and 82585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82575 and 82585.

How to find the GCF of 82575 and 82585?

We will first find the prime factorization of 82575 and 82585. After we will calculate the factors of 82575 and 82585 and find the biggest common factor number .

Step-1: Prime Factorization of 82575

Prime factors of 82575 are 3, 5, 367. Prime factorization of 82575 in exponential form is:

82575 = 3² × 5² × 367¹

Step-2: Prime Factorization of 82585

Prime factors of 82585 are 5, 83, 199. Prime factorization of 82585 in exponential form is:

82585 = 5¹ × 83¹ × 199¹

Step-3: Factors of 82575

List of positive integer factors of 82575 that divides 82575 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 367, 1101, 1835, 3303, 5505, 9175, 16515, 27525

Step-4: Factors of 82585

List of positive integer factors of 82585 that divides 82575 without a remainder.

1, 5, 83, 199, 415, 995, 16517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82575 and 82585. The biggest common factor number is the GCF number.
So the greatest common factor 82575 and 82585 is 5.

Also check out the Least Common Multiple of 82575 and 82585