What is the Greatest Common Factor of 4375 and 4387?

Greatest common factor (GCF) of 4375 and 4387 is 1.

GCF(4375,4387) = 1

We will now calculate the prime factors of 4375 and 4387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4375 and 4387.

How to find the GCF of 4375 and 4387?

We will first find the prime factorization of 4375 and 4387. After we will calculate the factors of 4375 and 4387 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 4387

Prime factors of 4387 are 41, 107. Prime factorization of 4387 in exponential form is:

4387 = 41¹ × 107¹

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 4387

List of positive integer factors of 4387 that divides 4375 without a remainder.

1, 41, 107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4375 and 4387. The biggest common factor number is the GCF number.
So the greatest common factor 4375 and 4387 is 1.

Also check out the Least Common Multiple of 4375 and 4387