What is the Greatest Common Factor of 82504 and 82524?

Greatest common factor (GCF) of 82504 and 82524 is 4.

GCF(82504,82524) = 4

We will now calculate the prime factors of 82504 and 82524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82504 and 82524.

How to find the GCF of 82504 and 82524?

We will first find the prime factorization of 82504 and 82524. After we will calculate the factors of 82504 and 82524 and find the biggest common factor number .

Step-1: Prime Factorization of 82504

Prime factors of 82504 are 2, 10313. Prime factorization of 82504 in exponential form is:

82504 = 2³ × 10313¹

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 82504

List of positive integer factors of 82504 that divides 82504 without a remainder.

1, 2, 4, 8, 10313, 20626, 41252

Step-4: Factors of 82524

List of positive integer factors of 82524 that divides 82504 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 82504 and 82524. The biggest common factor number is the GCF number.
So the greatest common factor 82504 and 82524 is 4.

Also check out the Least Common Multiple of 82504 and 82524