What is the Greatest Common Factor of 82544 and 82558?

Greatest common factor (GCF) of 82544 and 82558 is 14.

GCF(82544,82558) = 14

We will now calculate the prime factors of 82544 and 82558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82544 and 82558.

How to find the GCF of 82544 and 82558?

We will first find the prime factorization of 82544 and 82558. After we will calculate the factors of 82544 and 82558 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 82558

Prime factors of 82558 are 2, 7, 5897. Prime factorization of 82558 in exponential form is:

82558 = 2¹ × 7¹ × 5897¹

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 82558

List of positive integer factors of 82558 that divides 82544 without a remainder.

1, 2, 7, 14, 5897, 11794, 41279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82544 and 82558. The biggest common factor number is the GCF number.
So the greatest common factor 82544 and 82558 is 14.

Also check out the Least Common Multiple of 82544 and 82558