What is the Greatest Common Factor of 34166 and 34175?

Greatest common factor (GCF) of 34166 and 34175 is 1.

GCF(34166,34175) = 1

We will now calculate the prime factors of 34166 and 34175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34166 and 34175.

How to find the GCF of 34166 and 34175?

We will first find the prime factorization of 34166 and 34175. After we will calculate the factors of 34166 and 34175 and find the biggest common factor number .

Step-1: Prime Factorization of 34166

Prime factors of 34166 are 2, 11, 1553. Prime factorization of 34166 in exponential form is:

34166 = 2¹ × 11¹ × 1553¹

Step-2: Prime Factorization of 34175

Prime factors of 34175 are 5, 1367. Prime factorization of 34175 in exponential form is:

34175 = 5² × 1367¹

Step-3: Factors of 34166

List of positive integer factors of 34166 that divides 34166 without a remainder.

1, 2, 11, 22, 1553, 3106, 17083

Step-4: Factors of 34175

List of positive integer factors of 34175 that divides 34166 without a remainder.

1, 5, 25, 1367, 6835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34166 and 34175. The biggest common factor number is the GCF number.
So the greatest common factor 34166 and 34175 is 1.

Also check out the Least Common Multiple of 34166 and 34175