What is the Greatest Common Factor of 57549 and 57558?

Greatest common factor (GCF) of 57549 and 57558 is 3.

GCF(57549,57558) = 3

We will now calculate the prime factors of 57549 and 57558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57549 and 57558.

How to find the GCF of 57549 and 57558?

We will first find the prime factorization of 57549 and 57558. After we will calculate the factors of 57549 and 57558 and find the biggest common factor number .

Step-1: Prime Factorization of 57549

Prime factors of 57549 are 3, 19183. Prime factorization of 57549 in exponential form is:

57549 = 3¹ × 19183¹

Step-2: Prime Factorization of 57558

Prime factors of 57558 are 2, 3, 53, 181. Prime factorization of 57558 in exponential form is:

57558 = 2¹ × 3¹ × 53¹ × 181¹

Step-3: Factors of 57549

List of positive integer factors of 57549 that divides 57549 without a remainder.

1, 3, 19183

Step-4: Factors of 57558

List of positive integer factors of 57558 that divides 57549 without a remainder.

1, 2, 3, 6, 53, 106, 159, 181, 318, 362, 543, 1086, 9593, 19186, 28779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57549 and 57558. The biggest common factor number is the GCF number.
So the greatest common factor 57549 and 57558 is 3.

Also check out the Least Common Multiple of 57549 and 57558