What is the Greatest Common Factor of 57543 and 57561?

Greatest common factor (GCF) of 57543 and 57561 is 3.

GCF(57543,57561) = 3

We will now calculate the prime factors of 57543 and 57561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57543 and 57561.

How to find the GCF of 57543 and 57561?

We will first find the prime factorization of 57543 and 57561. After we will calculate the factors of 57543 and 57561 and find the biggest common factor number .

Step-1: Prime Factorization of 57543

Prime factors of 57543 are 3, 19181. Prime factorization of 57543 in exponential form is:

57543 = 3¹ × 19181¹

Step-2: Prime Factorization of 57561

Prime factors of 57561 are 3, 7, 2741. Prime factorization of 57561 in exponential form is:

57561 = 3¹ × 7¹ × 2741¹

Step-3: Factors of 57543

List of positive integer factors of 57543 that divides 57543 without a remainder.

1, 3, 19181

Step-4: Factors of 57561

List of positive integer factors of 57561 that divides 57543 without a remainder.

1, 3, 7, 21, 2741, 8223, 19187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57543 and 57561. The biggest common factor number is the GCF number.
So the greatest common factor 57543 and 57561 is 3.

Also check out the Least Common Multiple of 57543 and 57561