What is the Greatest Common Factor of 4371 and 4384?

Greatest common factor (GCF) of 4371 and 4384 is 1.

GCF(4371,4384) = 1

We will now calculate the prime factors of 4371 and 4384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4371 and 4384.

How to find the GCF of 4371 and 4384?

We will first find the prime factorization of 4371 and 4384. After we will calculate the factors of 4371 and 4384 and find the biggest common factor number .

Step-1: Prime Factorization of 4371

Prime factors of 4371 are 3, 31, 47. Prime factorization of 4371 in exponential form is:

4371 = 3¹ × 31¹ × 47¹

Step-2: Prime Factorization of 4384

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

4384 = 2⁵ × 137¹

Step-3: Factors of 4371

List of positive integer factors of 4371 that divides 4371 without a remainder.

1, 3, 31, 47, 93, 141, 1457

Step-4: Factors of 4384

List of positive integer factors of 4384 that divides 4371 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4371 and 4384. The biggest common factor number is the GCF number.
So the greatest common factor 4371 and 4384 is 1.

Also check out the Least Common Multiple of 4371 and 4384