What is the Greatest Common Factor of 16425 and 16440?

Greatest common factor (GCF) of 16425 and 16440 is 15.

GCF(16425,16440) = 15

We will now calculate the prime factors of 16425 and 16440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16425 and 16440.

How to find the GCF of 16425 and 16440?

We will first find the prime factorization of 16425 and 16440. After we will calculate the factors of 16425 and 16440 and find the biggest common factor number .

Step-1: Prime Factorization of 16425

Prime factors of 16425 are 3, 5, 73. Prime factorization of 16425 in exponential form is:

16425 = 3² × 5² × 73¹

Step-2: 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-3: Factors of 16425

List of positive integer factors of 16425 that divides 16425 without a remainder.

1, 3, 5, 9, 15, 25, 45, 73, 75, 219, 225, 365, 657, 1095, 1825, 3285, 5475

Step-4: Factors of 16440

List of positive integer factors of 16440 that divides 16425 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16425 and 16440. The biggest common factor number is the GCF number.
So the greatest common factor 16425 and 16440 is 15.

Also check out the Least Common Multiple of 16425 and 16440