What is the Greatest Common Factor of 16425 and 16445?

Greatest common factor (GCF) of 16425 and 16445 is 5.

GCF(16425,16445) = 5

We will now calculate the prime factors of 16425 and 16445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16425 and 16445.

How to find the GCF of 16425 and 16445?

We will first find the prime factorization of 16425 and 16445. After we will calculate the factors of 16425 and 16445 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 16445

Prime factors of 16445 are 5, 11, 13, 23. Prime factorization of 16445 in exponential form is:

16445 = 5¹ × 11¹ × 13¹ × 23¹

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 16445

List of positive integer factors of 16445 that divides 16425 without a remainder.

1, 5, 11, 13, 23, 55, 65, 115, 143, 253, 299, 715, 1265, 1495, 3289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16425 and 16445. The biggest common factor number is the GCF number.
So the greatest common factor 16425 and 16445 is 5.

Also check out the Least Common Multiple of 16425 and 16445