What is the Greatest Common Factor of 34375 and 34391?

Greatest common factor (GCF) of 34375 and 34391 is 1.

GCF(34375,34391) = 1

We will now calculate the prime factors of 34375 and 34391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34375 and 34391.

How to find the GCF of 34375 and 34391?

We will first find the prime factorization of 34375 and 34391. After we will calculate the factors of 34375 and 34391 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 34391

Prime factors of 34391 are 7, 17. Prime factorization of 34391 in exponential form is:

34391 = 7¹ × 17³

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 34391

List of positive integer factors of 34391 that divides 34375 without a remainder.

1, 7, 17, 119, 289, 2023, 4913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34375 and 34391. The biggest common factor number is the GCF number.
So the greatest common factor 34375 and 34391 is 1.

Also check out the Least Common Multiple of 34375 and 34391