What is the Greatest Common Factor of 32226 and 32245?

Greatest common factor (GCF) of 32226 and 32245 is 1.

GCF(32226,32245) = 1

We will now calculate the prime factors of 32226 and 32245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32226 and 32245.

How to find the GCF of 32226 and 32245?

We will first find the prime factorization of 32226 and 32245. After we will calculate the factors of 32226 and 32245 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32245

Prime factors of 32245 are 5, 6449. Prime factorization of 32245 in exponential form is:

32245 = 5¹ × 6449¹

Step-3: Factors of 32226

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

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

Step-4: Factors of 32245

List of positive integer factors of 32245 that divides 32226 without a remainder.

1, 5, 6449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32226 and 32245. The biggest common factor number is the GCF number.
So the greatest common factor 32226 and 32245 is 1.

Also check out the Least Common Multiple of 32226 and 32245