What is the Greatest Common Factor of 16344 and 16360?

Greatest common factor (GCF) of 16344 and 16360 is 8.

GCF(16344,16360) = 8

We will now calculate the prime factors of 16344 and 16360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16344 and 16360.

How to find the GCF of 16344 and 16360?

We will first find the prime factorization of 16344 and 16360. After we will calculate the factors of 16344 and 16360 and find the biggest common factor number .

Step-1: Prime Factorization of 16344

Prime factors of 16344 are 2, 3, 227. Prime factorization of 16344 in exponential form is:

16344 = 2³ × 3² × 227¹

Step-2: Prime Factorization of 16360

Prime factors of 16360 are 2, 5, 409. Prime factorization of 16360 in exponential form is:

16360 = 2³ × 5¹ × 409¹

Step-3: Factors of 16344

List of positive integer factors of 16344 that divides 16344 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 227, 454, 681, 908, 1362, 1816, 2043, 2724, 4086, 5448, 8172

Step-4: Factors of 16360

List of positive integer factors of 16360 that divides 16344 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 409, 818, 1636, 2045, 3272, 4090, 8180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16344 and 16360. The biggest common factor number is the GCF number.
So the greatest common factor 16344 and 16360 is 8.

Also check out the Least Common Multiple of 16344 and 16360