What is the Greatest Common Factor of 32205 and 32209?

Greatest common factor (GCF) of 32205 and 32209 is 1.

GCF(32205,32209) = 1

We will now calculate the prime factors of 32205 and 32209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32205 and 32209.

How to find the GCF of 32205 and 32209?

We will first find the prime factorization of 32205 and 32209. After we will calculate the factors of 32205 and 32209 and find the biggest common factor number .

Step-1: Prime Factorization of 32205

Prime factors of 32205 are 3, 5, 19, 113. Prime factorization of 32205 in exponential form is:

32205 = 3¹ × 5¹ × 19¹ × 113¹

Step-2: Prime Factorization of 32209

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

32209 = 31¹ × 1039¹

Step-3: Factors of 32205

List of positive integer factors of 32205 that divides 32205 without a remainder.

1, 3, 5, 15, 19, 57, 95, 113, 285, 339, 565, 1695, 2147, 6441, 10735

Step-4: Factors of 32209

List of positive integer factors of 32209 that divides 32205 without a remainder.

1, 31, 1039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32205 and 32209. The biggest common factor number is the GCF number.
So the greatest common factor 32205 and 32209 is 1.

Also check out the Least Common Multiple of 32205 and 32209