What is the Greatest Common Factor of 32209 and 32226?

Greatest common factor (GCF) of 32209 and 32226 is 1.

GCF(32209,32226) = 1

We will now calculate the prime factors of 32209 and 32226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32209 and 32226.

How to find the GCF of 32209 and 32226?

We will first find the prime factorization of 32209 and 32226. After we will calculate the factors of 32209 and 32226 and find the biggest common factor number .

Step-1: Prime Factorization of 32209

Prime factors of 32209 are 31, 1039. Prime factorization of 32209 in exponential form is:

32209 = 31¹ × 1039¹

Step-2: Prime Factorization of 32226

Prime factors of 32226 are 2, 3, 41, 131. Prime factorization of 32226 in exponential form is:

32226 = 2¹ × 3¹ × 41¹ × 131¹

Step-3: Factors of 32209

List of positive integer factors of 32209 that divides 32209 without a remainder.

1, 31, 1039

Step-4: Factors of 32226

List of positive integer factors of 32226 that divides 32209 without a remainder.

1, 2, 3, 6, 41, 82, 123, 131, 246, 262, 393, 786, 5371, 10742, 16113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32209 and 32226. The biggest common factor number is the GCF number.
So the greatest common factor 32209 and 32226 is 1.

Also check out the Least Common Multiple of 32209 and 32226