What is the Greatest Common Factor of 97209 and 97223?

Greatest common factor (GCF) of 97209 and 97223 is 7.

GCF(97209,97223) = 7

We will now calculate the prime factors of 97209 and 97223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97209 and 97223.

How to find the GCF of 97209 and 97223?

We will first find the prime factorization of 97209 and 97223. After we will calculate the factors of 97209 and 97223 and find the biggest common factor number .

Step-1: Prime Factorization of 97209

Prime factors of 97209 are 3, 7, 1543. Prime factorization of 97209 in exponential form is:

97209 = 3² × 7¹ × 1543¹

Step-2: Prime Factorization of 97223

Prime factors of 97223 are 7, 17, 19, 43. Prime factorization of 97223 in exponential form is:

97223 = 7¹ × 17¹ × 19¹ × 43¹

Step-3: Factors of 97209

List of positive integer factors of 97209 that divides 97209 without a remainder.

1, 3, 7, 9, 21, 63, 1543, 4629, 10801, 13887, 32403

Step-4: Factors of 97223

List of positive integer factors of 97223 that divides 97209 without a remainder.

1, 7, 17, 19, 43, 119, 133, 301, 323, 731, 817, 2261, 5117, 5719, 13889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97209 and 97223. The biggest common factor number is the GCF number.
So the greatest common factor 97209 and 97223 is 7.

Also check out the Least Common Multiple of 97209 and 97223