What is the Greatest Common Factor of 34375 and 34388?

Greatest common factor (GCF) of 34375 and 34388 is 1.

GCF(34375,34388) = 1

We will now calculate the prime factors of 34375 and 34388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34375 and 34388.

How to find the GCF of 34375 and 34388?

We will first find the prime factorization of 34375 and 34388. After we will calculate the factors of 34375 and 34388 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 34388

Prime factors of 34388 are 2, 8597. Prime factorization of 34388 in exponential form is:

34388 = 2² × 8597¹

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 34388

List of positive integer factors of 34388 that divides 34375 without a remainder.

1, 2, 4, 8597, 17194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34375 and 34388. The biggest common factor number is the GCF number.
So the greatest common factor 34375 and 34388 is 1.

Also check out the Least Common Multiple of 34375 and 34388