What is the Greatest Common Factor of 82557 and 82575?

Greatest common factor (GCF) of 82557 and 82575 is 9.

GCF(82557,82575) = 9

We will now calculate the prime factors of 82557 and 82575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82557 and 82575.

How to find the GCF of 82557 and 82575?

We will first find the prime factorization of 82557 and 82575. After we will calculate the factors of 82557 and 82575 and find the biggest common factor number .

Step-1: Prime Factorization of 82557

Prime factors of 82557 are 3, 9173. Prime factorization of 82557 in exponential form is:

82557 = 3² × 9173¹

Step-2: 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-3: Factors of 82557

List of positive integer factors of 82557 that divides 82557 without a remainder.

1, 3, 9, 9173, 27519

Step-4: Factors of 82575

List of positive integer factors of 82575 that divides 82557 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82557 and 82575. The biggest common factor number is the GCF number.
So the greatest common factor 82557 and 82575 is 9.

Also check out the Least Common Multiple of 82557 and 82575