What is the Greatest Common Factor of 47174 and 47189?

Greatest common factor (GCF) of 47174 and 47189 is 1.

GCF(47174,47189) = 1

We will now calculate the prime factors of 47174 and 47189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47174 and 47189.

How to find the GCF of 47174 and 47189?

We will first find the prime factorization of 47174 and 47189. After we will calculate the factors of 47174 and 47189 and find the biggest common factor number .

Step-1: Prime Factorization of 47174

Prime factors of 47174 are 2, 103, 229. Prime factorization of 47174 in exponential form is:

47174 = 2¹ × 103¹ × 229¹

Step-2: Prime Factorization of 47189

Prime factors of 47189 are 47189. Prime factorization of 47189 in exponential form is:

47189 = 47189¹

Step-3: Factors of 47174

List of positive integer factors of 47174 that divides 47174 without a remainder.

1, 2, 103, 206, 229, 458, 23587

Step-4: Factors of 47189

List of positive integer factors of 47189 that divides 47174 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47174 and 47189. The biggest common factor number is the GCF number.
So the greatest common factor 47174 and 47189 is 1.

Also check out the Least Common Multiple of 47174 and 47189