What is the Greatest Common Factor of 4375 and 4385?

Greatest common factor (GCF) of 4375 and 4385 is 5.

GCF(4375,4385) = 5

We will now calculate the prime factors of 4375 and 4385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4375 and 4385.

How to find the GCF of 4375 and 4385?

We will first find the prime factorization of 4375 and 4385. After we will calculate the factors of 4375 and 4385 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 4385

Prime factors of 4385 are 5, 877. Prime factorization of 4385 in exponential form is:

4385 = 5¹ × 877¹

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 4385

List of positive integer factors of 4385 that divides 4375 without a remainder.

1, 5, 877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4375 and 4385. The biggest common factor number is the GCF number.
So the greatest common factor 4375 and 4385 is 5.

Also check out the Least Common Multiple of 4375 and 4385