What is the Greatest Common Factor of 97221 and 97227?

Greatest common factor (GCF) of 97221 and 97227 is 3.

GCF(97221,97227) = 3

We will now calculate the prime factors of 97221 and 97227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97221 and 97227.

How to find the GCF of 97221 and 97227?

We will first find the prime factorization of 97221 and 97227. After we will calculate the factors of 97221 and 97227 and find the biggest common factor number .

Step-1: Prime Factorization of 97221

Prime factors of 97221 are 3, 23, 1409. Prime factorization of 97221 in exponential form is:

97221 = 3¹ × 23¹ × 1409¹

Step-2: Prime Factorization of 97227

Prime factors of 97227 are 3, 13, 277. Prime factorization of 97227 in exponential form is:

97227 = 3³ × 13¹ × 277¹

Step-3: Factors of 97221

List of positive integer factors of 97221 that divides 97221 without a remainder.

1, 3, 23, 69, 1409, 4227, 32407

Step-4: Factors of 97227

List of positive integer factors of 97227 that divides 97221 without a remainder.

1, 3, 9, 13, 27, 39, 117, 277, 351, 831, 2493, 3601, 7479, 10803, 32409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97221 and 97227. The biggest common factor number is the GCF number.
So the greatest common factor 97221 and 97227 is 3.

Also check out the Least Common Multiple of 97221 and 97227