What is the Greatest Common Factor of 82544 and 82552?

Greatest common factor (GCF) of 82544 and 82552 is 8.

GCF(82544,82552) = 8

We will now calculate the prime factors of 82544 and 82552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82544 and 82552.

How to find the GCF of 82544 and 82552?

We will first find the prime factorization of 82544 and 82552. After we will calculate the factors of 82544 and 82552 and find the biggest common factor number .

Step-1: Prime Factorization of 82544

Prime factors of 82544 are 2, 7, 11, 67. Prime factorization of 82544 in exponential form is:

82544 = 2⁴ × 7¹ × 11¹ × 67¹

Step-2: Prime Factorization of 82552

Prime factors of 82552 are 2, 17, 607. Prime factorization of 82552 in exponential form is:

82552 = 2³ × 17¹ × 607¹

Step-3: Factors of 82544

List of positive integer factors of 82544 that divides 82544 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 67, 77, 88, 112, 134, 154, 176, 268, 308, 469, 536, 616, 737, 938, 1072, 1232, 1474, 1876, 2948, 3752, 5159, 5896, 7504, 10318, 11792, 20636, 41272

Step-4: Factors of 82552

List of positive integer factors of 82552 that divides 82544 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 607, 1214, 2428, 4856, 10319, 20638, 41276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82544 and 82552. The biggest common factor number is the GCF number.
So the greatest common factor 82544 and 82552 is 8.

Also check out the Least Common Multiple of 82544 and 82552