What is the Greatest Common Factor of 82533 and 82544?

Greatest common factor (GCF) of 82533 and 82544 is 11.

GCF(82533,82544) = 11

We will now calculate the prime factors of 82533 and 82544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82533 and 82544.

How to find the GCF of 82533 and 82544?

We will first find the prime factorization of 82533 and 82544. After we will calculate the factors of 82533 and 82544 and find the biggest common factor number .

Step-1: Prime Factorization of 82533

Prime factors of 82533 are 3, 11, 41, 61. Prime factorization of 82533 in exponential form is:

82533 = 3¹ × 11¹ × 41¹ × 61¹

Step-2: 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-3: Factors of 82533

List of positive integer factors of 82533 that divides 82533 without a remainder.

1, 3, 11, 33, 41, 61, 123, 183, 451, 671, 1353, 2013, 2501, 7503, 27511

Step-4: Factors of 82544

List of positive integer factors of 82544 that divides 82533 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82533 and 82544. The biggest common factor number is the GCF number.
So the greatest common factor 82533 and 82544 is 11.

Also check out the Least Common Multiple of 82533 and 82544