What is the Greatest Common Factor of 15168 and 15174?

Greatest common factor (GCF) of 15168 and 15174 is 6.

GCF(15168,15174) = 6

We will now calculate the prime factors of 15168 and 15174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15168 and 15174.

How to find the GCF of 15168 and 15174?

We will first find the prime factorization of 15168 and 15174. After we will calculate the factors of 15168 and 15174 and find the biggest common factor number .

Step-1: Prime Factorization of 15168

Prime factors of 15168 are 2, 3, 79. Prime factorization of 15168 in exponential form is:

15168 = 2⁶ × 3¹ × 79¹

Step-2: 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-3: Factors of 15168

List of positive integer factors of 15168 that divides 15168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 79, 96, 158, 192, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 5056, 7584

Step-4: Factors of 15174

List of positive integer factors of 15174 that divides 15168 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15168 and 15174. The biggest common factor number is the GCF number.
So the greatest common factor 15168 and 15174 is 6.

Also check out the Least Common Multiple of 15168 and 15174