What is the Greatest Common Factor of 16225 and 16241?

Greatest common factor (GCF) of 16225 and 16241 is 1.

GCF(16225,16241) = 1

We will now calculate the prime factors of 16225 and 16241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16225 and 16241.

How to find the GCF of 16225 and 16241?

We will first find the prime factorization of 16225 and 16241. After we will calculate the factors of 16225 and 16241 and find the biggest common factor number .

Step-1: Prime Factorization of 16225

Prime factors of 16225 are 5, 11, 59. Prime factorization of 16225 in exponential form is:

16225 = 5² × 11¹ × 59¹

Step-2: Prime Factorization of 16241

Prime factors of 16241 are 109, 149. Prime factorization of 16241 in exponential form is:

16241 = 109¹ × 149¹

Step-3: Factors of 16225

List of positive integer factors of 16225 that divides 16225 without a remainder.

1, 5, 11, 25, 55, 59, 275, 295, 649, 1475, 3245

Step-4: Factors of 16241

List of positive integer factors of 16241 that divides 16225 without a remainder.

1, 109, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16225 and 16241. The biggest common factor number is the GCF number.
So the greatest common factor 16225 and 16241 is 1.

Also check out the Least Common Multiple of 16225 and 16241