What is the Greatest Common Factor of 57174 and 57188?

Greatest common factor (GCF) of 57174 and 57188 is 2.

GCF(57174,57188) = 2

We will now calculate the prime factors of 57174 and 57188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57174 and 57188.

How to find the GCF of 57174 and 57188?

We will first find the prime factorization of 57174 and 57188. After we will calculate the factors of 57174 and 57188 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 57188

Prime factors of 57188 are 2, 17, 29. Prime factorization of 57188 in exponential form is:

57188 = 2² × 17¹ × 29²

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 57188

List of positive integer factors of 57188 that divides 57174 without a remainder.

1, 2, 4, 17, 29, 34, 58, 68, 116, 493, 841, 986, 1682, 1972, 3364, 14297, 28594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57174 and 57188. The biggest common factor number is the GCF number.
So the greatest common factor 57174 and 57188 is 2.

Also check out the Least Common Multiple of 57174 and 57188