What is the Greatest Common Factor of 15168 and 15180?

Greatest common factor (GCF) of 15168 and 15180 is 12.

GCF(15168,15180) = 12

We will now calculate the prime factors of 15168 and 15180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15168 and 15180.

How to find the GCF of 15168 and 15180?

We will first find the prime factorization of 15168 and 15180. After we will calculate the factors of 15168 and 15180 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 15180

Prime factors of 15180 are 2, 3, 5, 11, 23. Prime factorization of 15180 in exponential form is:

15180 = 2² × 3¹ × 5¹ × 11¹ × 23¹

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 15180

List of positive integer factors of 15180 that divides 15168 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 23, 30, 33, 44, 46, 55, 60, 66, 69, 92, 110, 115, 132, 138, 165, 220, 230, 253, 276, 330, 345, 460, 506, 660, 690, 759, 1012, 1265, 1380, 1518, 2530, 3036, 3795, 5060, 7590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15168 and 15180. The biggest common factor number is the GCF number.
So the greatest common factor 15168 and 15180 is 12.

Also check out the Least Common Multiple of 15168 and 15180