What is the Greatest Common Factor of 15162 and 15181?

Greatest common factor (GCF) of 15162 and 15181 is 19.

GCF(15162,15181) = 19

We will now calculate the prime factors of 15162 and 15181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15162 and 15181.

How to find the GCF of 15162 and 15181?

We will first find the prime factorization of 15162 and 15181. After we will calculate the factors of 15162 and 15181 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 15181

Prime factors of 15181 are 17, 19, 47. Prime factorization of 15181 in exponential form is:

15181 = 17¹ × 19¹ × 47¹

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 15181

List of positive integer factors of 15181 that divides 15162 without a remainder.

1, 17, 19, 47, 323, 799, 893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15162 and 15181. The biggest common factor number is the GCF number.
So the greatest common factor 15162 and 15181 is 19.

Also check out the Least Common Multiple of 15162 and 15181