What is the Greatest Common Factor of 15174 and 15194?

Greatest common factor (GCF) of 15174 and 15194 is 2.

GCF(15174,15194) = 2

We will now calculate the prime factors of 15174 and 15194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15174 and 15194.

How to find the GCF of 15174 and 15194?

We will first find the prime factorization of 15174 and 15194. After we will calculate the factors of 15174 and 15194 and find the biggest common factor number .

Step-1: Prime Factorization of 15174

Prime factors of 15174 are 2, 3, 281. Prime factorization of 15174 in exponential form is:

15174 = 2¹ × 3³ × 281¹

Step-2: Prime Factorization of 15194

Prime factors of 15194 are 2, 71, 107. Prime factorization of 15194 in exponential form is:

15194 = 2¹ × 71¹ × 107¹

Step-3: Factors of 15174

List of positive integer factors of 15174 that divides 15174 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 281, 562, 843, 1686, 2529, 5058, 7587

Step-4: Factors of 15194

List of positive integer factors of 15194 that divides 15174 without a remainder.

1, 2, 71, 107, 142, 214, 7597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15174 and 15194. The biggest common factor number is the GCF number.
So the greatest common factor 15174 and 15194 is 2.

Also check out the Least Common Multiple of 15174 and 15194