What is the Greatest Common Factor of 34075 and 34095?

Greatest common factor (GCF) of 34075 and 34095 is 5.

GCF(34075,34095) = 5

We will now calculate the prime factors of 34075 and 34095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34075 and 34095.

How to find the GCF of 34075 and 34095?

We will first find the prime factorization of 34075 and 34095. After we will calculate the factors of 34075 and 34095 and find the biggest common factor number .

Step-1: Prime Factorization of 34075

Prime factors of 34075 are 5, 29, 47. Prime factorization of 34075 in exponential form is:

34075 = 5² × 29¹ × 47¹

Step-2: Prime Factorization of 34095

Prime factors of 34095 are 3, 5, 2273. Prime factorization of 34095 in exponential form is:

34095 = 3¹ × 5¹ × 2273¹

Step-3: Factors of 34075

List of positive integer factors of 34075 that divides 34075 without a remainder.

1, 5, 25, 29, 47, 145, 235, 725, 1175, 1363, 6815

Step-4: Factors of 34095

List of positive integer factors of 34095 that divides 34075 without a remainder.

1, 3, 5, 15, 2273, 6819, 11365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34075 and 34095. The biggest common factor number is the GCF number.
So the greatest common factor 34075 and 34095 is 5.

Also check out the Least Common Multiple of 34075 and 34095