What is the Greatest Common Factor of 4389 and 4403?

Greatest common factor (GCF) of 4389 and 4403 is 7.

GCF(4389,4403) = 7

We will now calculate the prime factors of 4389 and 4403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4389 and 4403.

How to find the GCF of 4389 and 4403?

We will first find the prime factorization of 4389 and 4403. After we will calculate the factors of 4389 and 4403 and find the biggest common factor number .

Step-1: Prime Factorization of 4389

Prime factors of 4389 are 3, 7, 11, 19. Prime factorization of 4389 in exponential form is:

4389 = 3¹ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 4403

Prime factors of 4403 are 7, 17, 37. Prime factorization of 4403 in exponential form is:

4403 = 7¹ × 17¹ × 37¹

Step-3: Factors of 4389

List of positive integer factors of 4389 that divides 4389 without a remainder.

1, 3, 7, 11, 19, 21, 33, 57, 77, 133, 209, 231, 399, 627, 1463

Step-4: Factors of 4403

List of positive integer factors of 4403 that divides 4389 without a remainder.

1, 7, 17, 37, 119, 259, 629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4389 and 4403. The biggest common factor number is the GCF number.
So the greatest common factor 4389 and 4403 is 7.

Also check out the Least Common Multiple of 4389 and 4403