What is the Greatest Common Factor of 34168 and 34180?

Greatest common factor (GCF) of 34168 and 34180 is 4.

GCF(34168,34180) = 4

We will now calculate the prime factors of 34168 and 34180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34168 and 34180.

How to find the GCF of 34168 and 34180?

We will first find the prime factorization of 34168 and 34180. After we will calculate the factors of 34168 and 34180 and find the biggest common factor number .

Step-1: Prime Factorization of 34168

Prime factors of 34168 are 2, 4271. Prime factorization of 34168 in exponential form is:

34168 = 2³ × 4271¹

Step-2: Prime Factorization of 34180

Prime factors of 34180 are 2, 5, 1709. Prime factorization of 34180 in exponential form is:

34180 = 2² × 5¹ × 1709¹

Step-3: Factors of 34168

List of positive integer factors of 34168 that divides 34168 without a remainder.

1, 2, 4, 8, 4271, 8542, 17084

Step-4: Factors of 34180

List of positive integer factors of 34180 that divides 34168 without a remainder.

1, 2, 4, 5, 10, 20, 1709, 3418, 6836, 8545, 17090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34168 and 34180. The biggest common factor number is the GCF number.
So the greatest common factor 34168 and 34180 is 4.

Also check out the Least Common Multiple of 34168 and 34180