What is the Greatest Common Factor of 97223 and 97237?

Greatest common factor (GCF) of 97223 and 97237 is 7.

GCF(97223,97237) = 7

We will now calculate the prime factors of 97223 and 97237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97223 and 97237.

How to find the GCF of 97223 and 97237?

We will first find the prime factorization of 97223 and 97237. After we will calculate the factors of 97223 and 97237 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97237

Prime factors of 97237 are 7, 29, 479. Prime factorization of 97237 in exponential form is:

97237 = 7¹ × 29¹ × 479¹

Step-3: Factors of 97223

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

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

Step-4: Factors of 97237

List of positive integer factors of 97237 that divides 97223 without a remainder.

1, 7, 29, 203, 479, 3353, 13891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97223 and 97237. The biggest common factor number is the GCF number.
So the greatest common factor 97223 and 97237 is 7.

Also check out the Least Common Multiple of 97223 and 97237