What is the Greatest Common Factor of 34375 and 34381?

Greatest common factor (GCF) of 34375 and 34381 is 1.

GCF(34375,34381) = 1

We will now calculate the prime factors of 34375 and 34381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34375 and 34381.

How to find the GCF of 34375 and 34381?

We will first find the prime factorization of 34375 and 34381. After we will calculate the factors of 34375 and 34381 and find the biggest common factor number .

Step-1: Prime Factorization of 34375

Prime factors of 34375 are 5, 11. Prime factorization of 34375 in exponential form is:

34375 = 5⁵ × 11¹

Step-2: Prime Factorization of 34381

Prime factors of 34381 are 34381. Prime factorization of 34381 in exponential form is:

34381 = 34381¹

Step-3: Factors of 34375

List of positive integer factors of 34375 that divides 34375 without a remainder.

1, 5, 11, 25, 55, 125, 275, 625, 1375, 3125, 6875

Step-4: Factors of 34381

List of positive integer factors of 34381 that divides 34375 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34375 and 34381. The biggest common factor number is the GCF number.
So the greatest common factor 34375 and 34381 is 1.

Also check out the Least Common Multiple of 34375 and 34381