What is the Greatest Common Factor of 16414 and 16425?

Greatest common factor (GCF) of 16414 and 16425 is 1.

GCF(16414,16425) = 1

We will now calculate the prime factors of 16414 and 16425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16414 and 16425.

How to find the GCF of 16414 and 16425?

We will first find the prime factorization of 16414 and 16425. After we will calculate the factors of 16414 and 16425 and find the biggest common factor number .

Step-1: Prime Factorization of 16414

Prime factors of 16414 are 2, 29, 283. Prime factorization of 16414 in exponential form is:

16414 = 2¹ × 29¹ × 283¹

Step-2: 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-3: Factors of 16414

List of positive integer factors of 16414 that divides 16414 without a remainder.

1, 2, 29, 58, 283, 566, 8207

Step-4: Factors of 16425

List of positive integer factors of 16425 that divides 16414 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16414 and 16425. The biggest common factor number is the GCF number.
So the greatest common factor 16414 and 16425 is 1.

Also check out the Least Common Multiple of 16414 and 16425