What is the Greatest Common Factor of 32193 and 32211?

Greatest common factor (GCF) of 32193 and 32211 is 9.

GCF(32193,32211) = 9

We will now calculate the prime factors of 32193 and 32211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32193 and 32211.

How to find the GCF of 32193 and 32211?

We will first find the prime factorization of 32193 and 32211. After we will calculate the factors of 32193 and 32211 and find the biggest common factor number .

Step-1: Prime Factorization of 32193

Prime factors of 32193 are 3, 7, 73. Prime factorization of 32193 in exponential form is:

32193 = 3² × 7² × 73¹

Step-2: Prime Factorization of 32211

Prime factors of 32211 are 3, 1193. Prime factorization of 32211 in exponential form is:

32211 = 3³ × 1193¹

Step-3: Factors of 32193

List of positive integer factors of 32193 that divides 32193 without a remainder.

1, 3, 7, 9, 21, 49, 63, 73, 147, 219, 441, 511, 657, 1533, 3577, 4599, 10731

Step-4: Factors of 32211

List of positive integer factors of 32211 that divides 32193 without a remainder.

1, 3, 9, 27, 1193, 3579, 10737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32193 and 32211. The biggest common factor number is the GCF number.
So the greatest common factor 32193 and 32211 is 9.

Also check out the Least Common Multiple of 32193 and 32211