What is the Greatest Common Factor of 51174 and 51189?

Greatest common factor (GCF) of 51174 and 51189 is 3.

GCF(51174,51189) = 3

We will now calculate the prime factors of 51174 and 51189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51174 and 51189.

How to find the GCF of 51174 and 51189?

We will first find the prime factorization of 51174 and 51189. After we will calculate the factors of 51174 and 51189 and find the biggest common factor number .

Step-1: Prime Factorization of 51174

Prime factors of 51174 are 2, 3, 2843. Prime factorization of 51174 in exponential form is:

51174 = 2¹ × 3² × 2843¹

Step-2: Prime Factorization of 51189

Prime factors of 51189 are 3, 113, 151. Prime factorization of 51189 in exponential form is:

51189 = 3¹ × 113¹ × 151¹

Step-3: Factors of 51174

List of positive integer factors of 51174 that divides 51174 without a remainder.

1, 2, 3, 6, 9, 18, 2843, 5686, 8529, 17058, 25587

Step-4: Factors of 51189

List of positive integer factors of 51189 that divides 51174 without a remainder.

1, 3, 113, 151, 339, 453, 17063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51174 and 51189. The biggest common factor number is the GCF number.
So the greatest common factor 51174 and 51189 is 3.

Also check out the Least Common Multiple of 51174 and 51189