What is the Greatest Common Factor of 16214 and 16225?

Greatest common factor (GCF) of 16214 and 16225 is 11.

GCF(16214,16225) = 11

We will now calculate the prime factors of 16214 and 16225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16214 and 16225.

How to find the GCF of 16214 and 16225?

We will first find the prime factorization of 16214 and 16225. After we will calculate the factors of 16214 and 16225 and find the biggest common factor number .

Step-1: Prime Factorization of 16214

Prime factors of 16214 are 2, 11, 67. Prime factorization of 16214 in exponential form is:

16214 = 2¹ × 11² × 67¹

Step-2: 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-3: Factors of 16214

List of positive integer factors of 16214 that divides 16214 without a remainder.

1, 2, 11, 22, 67, 121, 134, 242, 737, 1474, 8107

Step-4: Factors of 16225

List of positive integer factors of 16225 that divides 16214 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16214 and 16225. The biggest common factor number is the GCF number.
So the greatest common factor 16214 and 16225 is 11.

Also check out the Least Common Multiple of 16214 and 16225