What is the Greatest Common Factor of 82517 and 82524?

Greatest common factor (GCF) of 82517 and 82524 is 1.

GCF(82517,82524) = 1

We will now calculate the prime factors of 82517 and 82524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82517 and 82524.

How to find the GCF of 82517 and 82524?

We will first find the prime factorization of 82517 and 82524. After we will calculate the factors of 82517 and 82524 and find the biggest common factor number .

Step-1: Prime Factorization of 82517

Prime factors of 82517 are 19, 43, 101. Prime factorization of 82517 in exponential form is:

82517 = 19¹ × 43¹ × 101¹

Step-2: Prime Factorization of 82524

Prime factors of 82524 are 2, 3, 13, 23. Prime factorization of 82524 in exponential form is:

82524 = 2² × 3¹ × 13¹ × 23²

Step-3: Factors of 82517

List of positive integer factors of 82517 that divides 82517 without a remainder.

1, 19, 43, 101, 817, 1919, 4343

Step-4: Factors of 82524

List of positive integer factors of 82524 that divides 82517 without a remainder.

1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 529, 598, 897, 1058, 1196, 1587, 1794, 2116, 3174, 3588, 6348, 6877, 13754, 20631, 27508, 41262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82517 and 82524. The biggest common factor number is the GCF number.
So the greatest common factor 82517 and 82524 is 1.

Also check out the Least Common Multiple of 82517 and 82524