What is the Greatest Common Factor of 4384 and 4399?

Greatest common factor (GCF) of 4384 and 4399 is 1.

GCF(4384,4399) = 1

We will now calculate the prime factors of 4384 and 4399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4384 and 4399.

How to find the GCF of 4384 and 4399?

We will first find the prime factorization of 4384 and 4399. After we will calculate the factors of 4384 and 4399 and find the biggest common factor number .

Step-1: Prime Factorization of 4384

Prime factors of 4384 are 2, 137. Prime factorization of 4384 in exponential form is:

4384 = 2⁵ × 137¹

Step-2: Prime Factorization of 4399

Prime factors of 4399 are 53, 83. Prime factorization of 4399 in exponential form is:

4399 = 53¹ × 83¹

Step-3: Factors of 4384

List of positive integer factors of 4384 that divides 4384 without a remainder.

1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192

Step-4: Factors of 4399

List of positive integer factors of 4399 that divides 4384 without a remainder.

1, 53, 83

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4384 and 4399. The biggest common factor number is the GCF number.
So the greatest common factor 4384 and 4399 is 1.

Also check out the Least Common Multiple of 4384 and 4399