What is the Greatest Common Factor of 74384 and 74389?

Greatest common factor (GCF) of 74384 and 74389 is 1.

GCF(74384,74389) = 1

We will now calculate the prime factors of 74384 and 74389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74384 and 74389.

How to find the GCF of 74384 and 74389?

We will first find the prime factorization of 74384 and 74389. After we will calculate the factors of 74384 and 74389 and find the biggest common factor number .

Step-1: Prime Factorization of 74384

Prime factors of 74384 are 2, 4649. Prime factorization of 74384 in exponential form is:

74384 = 2⁴ × 4649¹

Step-2: Prime Factorization of 74389

Prime factors of 74389 are 7, 10627. Prime factorization of 74389 in exponential form is:

74389 = 7¹ × 10627¹

Step-3: Factors of 74384

List of positive integer factors of 74384 that divides 74384 without a remainder.

1, 2, 4, 8, 16, 4649, 9298, 18596, 37192

Step-4: Factors of 74389

List of positive integer factors of 74389 that divides 74384 without a remainder.

1, 7, 10627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74384 and 74389. The biggest common factor number is the GCF number.
So the greatest common factor 74384 and 74389 is 1.

Also check out the Least Common Multiple of 74384 and 74389