What is the Greatest Common Factor of 42543 and 42559?

Greatest common factor (GCF) of 42543 and 42559 is 1.

GCF(42543,42559) = 1

We will now calculate the prime factors of 42543 and 42559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42543 and 42559.

How to find the GCF of 42543 and 42559?

We will first find the prime factorization of 42543 and 42559. After we will calculate the factors of 42543 and 42559 and find the biggest common factor number .

Step-1: Prime Factorization of 42543

Prime factors of 42543 are 3, 29, 163. Prime factorization of 42543 in exponential form is:

42543 = 3² × 29¹ × 163¹

Step-2: Prime Factorization of 42559

Prime factors of 42559 are 11, 53, 73. Prime factorization of 42559 in exponential form is:

42559 = 11¹ × 53¹ × 73¹

Step-3: Factors of 42543

List of positive integer factors of 42543 that divides 42543 without a remainder.

1, 3, 9, 29, 87, 163, 261, 489, 1467, 4727, 14181

Step-4: Factors of 42559

List of positive integer factors of 42559 that divides 42543 without a remainder.

1, 11, 53, 73, 583, 803, 3869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42543 and 42559. The biggest common factor number is the GCF number.
So the greatest common factor 42543 and 42559 is 1.

Also check out the Least Common Multiple of 42543 and 42559