What is the Greatest Common Factor of 57558 and 57567?

Greatest common factor (GCF) of 57558 and 57567 is 3.

GCF(57558,57567) = 3

We will now calculate the prime factors of 57558 and 57567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57558 and 57567.

How to find the GCF of 57558 and 57567?

We will first find the prime factorization of 57558 and 57567. After we will calculate the factors of 57558 and 57567 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57567

Prime factors of 57567 are 3, 31, 619. Prime factorization of 57567 in exponential form is:

57567 = 3¹ × 31¹ × 619¹

Step-3: Factors of 57558

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

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

Step-4: Factors of 57567

List of positive integer factors of 57567 that divides 57558 without a remainder.

1, 3, 31, 93, 619, 1857, 19189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57558 and 57567. The biggest common factor number is the GCF number.
So the greatest common factor 57558 and 57567 is 3.

Also check out the Least Common Multiple of 57558 and 57567