What is the Greatest Common Factor of 82544 and 82555?

Greatest common factor (GCF) of 82544 and 82555 is 11.

GCF(82544,82555) = 11

We will now calculate the prime factors of 82544 and 82555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82544 and 82555.

How to find the GCF of 82544 and 82555?

We will first find the prime factorization of 82544 and 82555. After we will calculate the factors of 82544 and 82555 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 82555

Prime factors of 82555 are 5, 11, 19, 79. Prime factorization of 82555 in exponential form is:

82555 = 5¹ × 11¹ × 19¹ × 79¹

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 82555

List of positive integer factors of 82555 that divides 82544 without a remainder.

1, 5, 11, 19, 55, 79, 95, 209, 395, 869, 1045, 1501, 4345, 7505, 16511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82544 and 82555. The biggest common factor number is the GCF number.
So the greatest common factor 82544 and 82555 is 11.

Also check out the Least Common Multiple of 82544 and 82555