What is the Greatest Common Factor of 15162 and 15168?

Greatest common factor (GCF) of 15162 and 15168 is 6.

GCF(15162,15168) = 6

We will now calculate the prime factors of 15162 and 15168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15162 and 15168.

How to find the GCF of 15162 and 15168?

We will first find the prime factorization of 15162 and 15168. After we will calculate the factors of 15162 and 15168 and find the biggest common factor number .

Step-1: Prime Factorization of 15162

Prime factors of 15162 are 2, 3, 7, 19. Prime factorization of 15162 in exponential form is:

15162 = 2¹ × 3¹ × 7¹ × 19²

Step-2: 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-3: Factors of 15162

List of positive integer factors of 15162 that divides 15162 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 361, 399, 722, 798, 1083, 2166, 2527, 5054, 7581

Step-4: Factors of 15168

List of positive integer factors of 15168 that divides 15162 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15162 and 15168. The biggest common factor number is the GCF number.
So the greatest common factor 15162 and 15168 is 6.

Also check out the Least Common Multiple of 15162 and 15168