What is the Greatest Common Factor of 74443 and 74457?

Greatest common factor (GCF) of 74443 and 74457 is 1.

GCF(74443,74457) = 1

We will now calculate the prime factors of 74443 and 74457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74443 and 74457.

How to find the GCF of 74443 and 74457?

We will first find the prime factorization of 74443 and 74457. After we will calculate the factors of 74443 and 74457 and find the biggest common factor number .

Step-1: Prime Factorization of 74443

Prime factors of 74443 are 17, 29, 151. Prime factorization of 74443 in exponential form is:

74443 = 17¹ × 29¹ × 151¹

Step-2: Prime Factorization of 74457

Prime factors of 74457 are 3, 8273. Prime factorization of 74457 in exponential form is:

74457 = 3² × 8273¹

Step-3: Factors of 74443

List of positive integer factors of 74443 that divides 74443 without a remainder.

1, 17, 29, 151, 493, 2567, 4379

Step-4: Factors of 74457

List of positive integer factors of 74457 that divides 74443 without a remainder.

1, 3, 9, 8273, 24819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74443 and 74457. The biggest common factor number is the GCF number.
So the greatest common factor 74443 and 74457 is 1.

Also check out the Least Common Multiple of 74443 and 74457