What is the Greatest Common Factor of 82509 and 82528?

Greatest common factor (GCF) of 82509 and 82528 is 1.

GCF(82509,82528) = 1

We will now calculate the prime factors of 82509 and 82528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82509 and 82528.

How to find the GCF of 82509 and 82528?

We will first find the prime factorization of 82509 and 82528. After we will calculate the factors of 82509 and 82528 and find the biggest common factor number .

Step-1: Prime Factorization of 82509

Prime factors of 82509 are 3, 7, 3929. Prime factorization of 82509 in exponential form is:

82509 = 3¹ × 7¹ × 3929¹

Step-2: Prime Factorization of 82528

Prime factors of 82528 are 2, 2579. Prime factorization of 82528 in exponential form is:

82528 = 2⁵ × 2579¹

Step-3: Factors of 82509

List of positive integer factors of 82509 that divides 82509 without a remainder.

1, 3, 7, 21, 3929, 11787, 27503

Step-4: Factors of 82528

List of positive integer factors of 82528 that divides 82509 without a remainder.

1, 2, 4, 8, 16, 32, 2579, 5158, 10316, 20632, 41264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82509 and 82528. The biggest common factor number is the GCF number.
So the greatest common factor 82509 and 82528 is 1.

Also check out the Least Common Multiple of 82509 and 82528