What is the Greatest Common Factor of 4384 and 4388?

Greatest common factor (GCF) of 4384 and 4388 is 4.

GCF(4384,4388) = 4

We will now calculate the prime factors of 4384 and 4388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4384 and 4388.

How to find the GCF of 4384 and 4388?

We will first find the prime factorization of 4384 and 4388. After we will calculate the factors of 4384 and 4388 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 4388

Prime factors of 4388 are 2, 1097. Prime factorization of 4388 in exponential form is:

4388 = 2² × 1097¹

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 4388

List of positive integer factors of 4388 that divides 4384 without a remainder.

1, 2, 4, 1097, 2194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4384 and 4388. The biggest common factor number is the GCF number.
So the greatest common factor 4384 and 4388 is 4.

Also check out the Least Common Multiple of 4384 and 4388