What is the Greatest Common Factor of 60543 and 60563?

Greatest common factor (GCF) of 60543 and 60563 is 1.

GCF(60543,60563) = 1

We will now calculate the prime factors of 60543 and 60563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60543 and 60563.

How to find the GCF of 60543 and 60563?

We will first find the prime factorization of 60543 and 60563. After we will calculate the factors of 60543 and 60563 and find the biggest common factor number .

Step-1: Prime Factorization of 60543

Prime factors of 60543 are 3, 7, 31. Prime factorization of 60543 in exponential form is:

60543 = 3² × 7¹ × 31²

Step-2: Prime Factorization of 60563

Prime factors of 60563 are 71, 853. Prime factorization of 60563 in exponential form is:

60563 = 71¹ × 853¹

Step-3: Factors of 60543

List of positive integer factors of 60543 that divides 60543 without a remainder.

1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651, 961, 1953, 2883, 6727, 8649, 20181

Step-4: Factors of 60563

List of positive integer factors of 60563 that divides 60543 without a remainder.

1, 71, 853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60543 and 60563. The biggest common factor number is the GCF number.
So the greatest common factor 60543 and 60563 is 1.

Also check out the Least Common Multiple of 60543 and 60563