What is the Greatest Common Factor of 74443 and 74459?

Greatest common factor (GCF) of 74443 and 74459 is 1.

GCF(74443,74459) = 1

We will now calculate the prime factors of 74443 and 74459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74443 and 74459.

How to find the GCF of 74443 and 74459?

We will first find the prime factorization of 74443 and 74459. After we will calculate the factors of 74443 and 74459 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 74459

Prime factors of 74459 are 7, 11, 967. Prime factorization of 74459 in exponential form is:

74459 = 7¹ × 11¹ × 967¹

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 74459

List of positive integer factors of 74459 that divides 74443 without a remainder.

1, 7, 11, 77, 967, 6769, 10637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74443 and 74459. The biggest common factor number is the GCF number.
So the greatest common factor 74443 and 74459 is 1.

Also check out the Least Common Multiple of 74443 and 74459