What is the Greatest Common Factor of 4384 and 4400?

Greatest common factor (GCF) of 4384 and 4400 is 16.

GCF(4384,4400) = 16

We will now calculate the prime factors of 4384 and 4400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4384 and 4400.

How to find the GCF of 4384 and 4400?

We will first find the prime factorization of 4384 and 4400. After we will calculate the factors of 4384 and 4400 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 4400

Prime factors of 4400 are 2, 5, 11. Prime factorization of 4400 in exponential form is:

4400 = 2⁴ × 5² × 11¹

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 4400

List of positive integer factors of 4400 that divides 4384 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4384 and 4400. The biggest common factor number is the GCF number.
So the greatest common factor 4384 and 4400 is 16.

Also check out the Least Common Multiple of 4384 and 4400