What is the Greatest Common Factor of 82565 and 82579?

Greatest common factor (GCF) of 82565 and 82579 is 7.

GCF(82565,82579) = 7

We will now calculate the prime factors of 82565 and 82579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82565 and 82579.

How to find the GCF of 82565 and 82579?

We will first find the prime factorization of 82565 and 82579. After we will calculate the factors of 82565 and 82579 and find the biggest common factor number .

Step-1: Prime Factorization of 82565

Prime factors of 82565 are 5, 7, 337. Prime factorization of 82565 in exponential form is:

82565 = 5¹ × 7² × 337¹

Step-2: Prime Factorization of 82579

Prime factors of 82579 are 7, 47, 251. Prime factorization of 82579 in exponential form is:

82579 = 7¹ × 47¹ × 251¹

Step-3: Factors of 82565

List of positive integer factors of 82565 that divides 82565 without a remainder.

1, 5, 7, 35, 49, 245, 337, 1685, 2359, 11795, 16513

Step-4: Factors of 82579

List of positive integer factors of 82579 that divides 82565 without a remainder.

1, 7, 47, 251, 329, 1757, 11797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82565 and 82579. The biggest common factor number is the GCF number.
So the greatest common factor 82565 and 82579 is 7.

Also check out the Least Common Multiple of 82565 and 82579