What is the Greatest Common Factor of 32229 and 32247?

Greatest common factor (GCF) of 32229 and 32247 is 9.

GCF(32229,32247) = 9

We will now calculate the prime factors of 32229 and 32247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32229 and 32247.

How to find the GCF of 32229 and 32247?

We will first find the prime factorization of 32229 and 32247. After we will calculate the factors of 32229 and 32247 and find the biggest common factor number .

Step-1: Prime Factorization of 32229

Prime factors of 32229 are 3, 3581. Prime factorization of 32229 in exponential form is:

32229 = 3² × 3581¹

Step-2: Prime Factorization of 32247

Prime factors of 32247 are 3, 3583. Prime factorization of 32247 in exponential form is:

32247 = 3² × 3583¹

Step-3: Factors of 32229

List of positive integer factors of 32229 that divides 32229 without a remainder.

1, 3, 9, 3581, 10743

Step-4: Factors of 32247

List of positive integer factors of 32247 that divides 32229 without a remainder.

1, 3, 9, 3583, 10749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32229 and 32247. The biggest common factor number is the GCF number.
So the greatest common factor 32229 and 32247 is 9.

Also check out the Least Common Multiple of 32229 and 32247