What is the Greatest Common Factor of 34360 and 34375?

Greatest common factor (GCF) of 34360 and 34375 is 5.

GCF(34360,34375) = 5

We will now calculate the prime factors of 34360 and 34375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34360 and 34375.

How to find the GCF of 34360 and 34375?

We will first find the prime factorization of 34360 and 34375. After we will calculate the factors of 34360 and 34375 and find the biggest common factor number .

Step-1: Prime Factorization of 34360

Prime factors of 34360 are 2, 5, 859. Prime factorization of 34360 in exponential form is:

34360 = 2³ × 5¹ × 859¹

Step-2: Prime Factorization of 34375

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

34375 = 5⁵ × 11¹

Step-3: Factors of 34360

List of positive integer factors of 34360 that divides 34360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 859, 1718, 3436, 4295, 6872, 8590, 17180

Step-4: Factors of 34375

List of positive integer factors of 34375 that divides 34360 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34360 and 34375. The biggest common factor number is the GCF number.
So the greatest common factor 34360 and 34375 is 5.

Also check out the Least Common Multiple of 34360 and 34375