What is the Greatest Common Factor of 4375 and 4389?

Greatest common factor (GCF) of 4375 and 4389 is 7.

GCF(4375,4389) = 7

We will now calculate the prime factors of 4375 and 4389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4375 and 4389.

How to find the GCF of 4375 and 4389?

We will first find the prime factorization of 4375 and 4389. After we will calculate the factors of 4375 and 4389 and find the biggest common factor number .

Step-1: Prime Factorization of 4375

Prime factors of 4375 are 5, 7. Prime factorization of 4375 in exponential form is:

4375 = 5⁴ × 7¹

Step-2: 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-3: Factors of 4375

List of positive integer factors of 4375 that divides 4375 without a remainder.

1, 5, 7, 25, 35, 125, 175, 625, 875

Step-4: Factors of 4389

List of positive integer factors of 4389 that divides 4375 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4375 and 4389. The biggest common factor number is the GCF number.
So the greatest common factor 4375 and 4389 is 7.

Also check out the Least Common Multiple of 4375 and 4389