What is the Greatest Common Factor of 16440 and 16455?

Greatest common factor (GCF) of 16440 and 16455 is 15.

GCF(16440,16455) = 15

We will now calculate the prime factors of 16440 and 16455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16440 and 16455.

How to find the GCF of 16440 and 16455?

We will first find the prime factorization of 16440 and 16455. After we will calculate the factors of 16440 and 16455 and find the biggest common factor number .

Step-1: Prime Factorization of 16440

Prime factors of 16440 are 2, 3, 5, 137. Prime factorization of 16440 in exponential form is:

16440 = 2³ × 3¹ × 5¹ × 137¹

Step-2: Prime Factorization of 16455

Prime factors of 16455 are 3, 5, 1097. Prime factorization of 16455 in exponential form is:

16455 = 3¹ × 5¹ × 1097¹

Step-3: Factors of 16440

List of positive integer factors of 16440 that divides 16440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 137, 274, 411, 548, 685, 822, 1096, 1370, 1644, 2055, 2740, 3288, 4110, 5480, 8220

Step-4: Factors of 16455

List of positive integer factors of 16455 that divides 16440 without a remainder.

1, 3, 5, 15, 1097, 3291, 5485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16440 and 16455. The biggest common factor number is the GCF number.
So the greatest common factor 16440 and 16455 is 15.

Also check out the Least Common Multiple of 16440 and 16455