What is the Greatest Common Factor of 97443 and 97457?

Greatest common factor (GCF) of 97443 and 97457 is 1.

GCF(97443,97457) = 1

We will now calculate the prime factors of 97443 and 97457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97443 and 97457.

How to find the GCF of 97443 and 97457?

We will first find the prime factorization of 97443 and 97457. After we will calculate the factors of 97443 and 97457 and find the biggest common factor number .

Step-1: Prime Factorization of 97443

Prime factors of 97443 are 3, 401. Prime factorization of 97443 in exponential form is:

97443 = 3⁵ × 401¹

Step-2: Prime Factorization of 97457

Prime factors of 97457 are 41, 2377. Prime factorization of 97457 in exponential form is:

97457 = 41¹ × 2377¹

Step-3: Factors of 97443

List of positive integer factors of 97443 that divides 97443 without a remainder.

1, 3, 9, 27, 81, 243, 401, 1203, 3609, 10827, 32481

Step-4: Factors of 97457

List of positive integer factors of 97457 that divides 97443 without a remainder.

1, 41, 2377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97443 and 97457. The biggest common factor number is the GCF number.
So the greatest common factor 97443 and 97457 is 1.

Also check out the Least Common Multiple of 97443 and 97457