What is the Greatest Common Factor of 4375 and 4393?

Greatest common factor (GCF) of 4375 and 4393 is 1.

GCF(4375,4393) = 1

We will now calculate the prime factors of 4375 and 4393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4375 and 4393.

How to find the GCF of 4375 and 4393?

We will first find the prime factorization of 4375 and 4393. After we will calculate the factors of 4375 and 4393 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 4393

Prime factors of 4393 are 23, 191. Prime factorization of 4393 in exponential form is:

4393 = 23¹ × 191¹

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 4393

List of positive integer factors of 4393 that divides 4375 without a remainder.

1, 23, 191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4375 and 4393. The biggest common factor number is the GCF number.
So the greatest common factor 4375 and 4393 is 1.

Also check out the Least Common Multiple of 4375 and 4393