What is the Greatest Common Factor of 82512 and 82524?

Greatest common factor (GCF) of 82512 and 82524 is 12.

GCF(82512,82524) = 12

We will now calculate the prime factors of 82512 and 82524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82512 and 82524.

How to find the GCF of 82512 and 82524?

We will first find the prime factorization of 82512 and 82524. After we will calculate the factors of 82512 and 82524 and find the biggest common factor number .

Step-1: Prime Factorization of 82512

Prime factors of 82512 are 2, 3, 191. Prime factorization of 82512 in exponential form is:

82512 = 2⁴ × 3³ × 191¹

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 82512

List of positive integer factors of 82512 that divides 82512 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 191, 216, 382, 432, 573, 764, 1146, 1528, 1719, 2292, 3056, 3438, 4584, 5157, 6876, 9168, 10314, 13752, 20628, 27504, 41256

Step-4: Factors of 82524

List of positive integer factors of 82524 that divides 82512 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 82512 and 82524. The biggest common factor number is the GCF number.
So the greatest common factor 82512 and 82524 is 12.

Also check out the Least Common Multiple of 82512 and 82524