What is the Greatest Common Factor of 82575 and 82590?

Greatest common factor (GCF) of 82575 and 82590 is 15.

GCF(82575,82590) = 15

We will now calculate the prime factors of 82575 and 82590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82575 and 82590.

How to find the GCF of 82575 and 82590?

We will first find the prime factorization of 82575 and 82590. After we will calculate the factors of 82575 and 82590 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 82590

Prime factors of 82590 are 2, 3, 5, 2753. Prime factorization of 82590 in exponential form is:

82590 = 2¹ × 3¹ × 5¹ × 2753¹

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 82590

List of positive integer factors of 82590 that divides 82575 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2753, 5506, 8259, 13765, 16518, 27530, 41295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82575 and 82590. The biggest common factor number is the GCF number.
So the greatest common factor 82575 and 82590 is 15.

Also check out the Least Common Multiple of 82575 and 82590