What is the Greatest Common Factor of 57318 and 57333?

Greatest common factor (GCF) of 57318 and 57333 is 3.

GCF(57318,57333) = 3

We will now calculate the prime factors of 57318 and 57333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57318 and 57333.

How to find the GCF of 57318 and 57333?

We will first find the prime factorization of 57318 and 57333. After we will calculate the factors of 57318 and 57333 and find the biggest common factor number .

Step-1: Prime Factorization of 57318

Prime factors of 57318 are 2, 3, 41, 233. Prime factorization of 57318 in exponential form is:

57318 = 2¹ × 3¹ × 41¹ × 233¹

Step-2: Prime Factorization of 57333

Prime factors of 57333 are 3, 29, 659. Prime factorization of 57333 in exponential form is:

57333 = 3¹ × 29¹ × 659¹

Step-3: Factors of 57318

List of positive integer factors of 57318 that divides 57318 without a remainder.

1, 2, 3, 6, 41, 82, 123, 233, 246, 466, 699, 1398, 9553, 19106, 28659

Step-4: Factors of 57333

List of positive integer factors of 57333 that divides 57318 without a remainder.

1, 3, 29, 87, 659, 1977, 19111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57318 and 57333. The biggest common factor number is the GCF number.
So the greatest common factor 57318 and 57333 is 3.

Also check out the Least Common Multiple of 57318 and 57333