What is the Greatest Common Factor of 57174 and 57189?

Greatest common factor (GCF) of 57174 and 57189 is 3.

GCF(57174,57189) = 3

We will now calculate the prime factors of 57174 and 57189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57174 and 57189.

How to find the GCF of 57174 and 57189?

We will first find the prime factorization of 57174 and 57189. After we will calculate the factors of 57174 and 57189 and find the biggest common factor number .

Step-1: Prime Factorization of 57174

Prime factors of 57174 are 2, 3, 13, 733. Prime factorization of 57174 in exponential form is:

57174 = 2¹ × 3¹ × 13¹ × 733¹

Step-2: Prime Factorization of 57189

Prime factors of 57189 are 3, 11, 1733. Prime factorization of 57189 in exponential form is:

57189 = 3¹ × 11¹ × 1733¹

Step-3: Factors of 57174

List of positive integer factors of 57174 that divides 57174 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 733, 1466, 2199, 4398, 9529, 19058, 28587

Step-4: Factors of 57189

List of positive integer factors of 57189 that divides 57174 without a remainder.

1, 3, 11, 33, 1733, 5199, 19063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57174 and 57189. The biggest common factor number is the GCF number.
So the greatest common factor 57174 and 57189 is 3.

Also check out the Least Common Multiple of 57174 and 57189