What is the Greatest Common Factor of 34375 and 34386?

Greatest common factor (GCF) of 34375 and 34386 is 11.

GCF(34375,34386) = 11

We will now calculate the prime factors of 34375 and 34386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34375 and 34386.

How to find the GCF of 34375 and 34386?

We will first find the prime factorization of 34375 and 34386. After we will calculate the factors of 34375 and 34386 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 34386

Prime factors of 34386 are 2, 3, 11, 521. Prime factorization of 34386 in exponential form is:

34386 = 2¹ × 3¹ × 11¹ × 521¹

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 34386

List of positive integer factors of 34386 that divides 34375 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 521, 1042, 1563, 3126, 5731, 11462, 17193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34375 and 34386. The biggest common factor number is the GCF number.
So the greatest common factor 34375 and 34386 is 11.

Also check out the Least Common Multiple of 34375 and 34386