What is the Greatest Common Factor of 34148 and 34168?

Greatest common factor (GCF) of 34148 and 34168 is 4.

GCF(34148,34168) = 4

We will now calculate the prime factors of 34148 and 34168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34148 and 34168.

How to find the GCF of 34148 and 34168?

We will first find the prime factorization of 34148 and 34168. After we will calculate the factors of 34148 and 34168 and find the biggest common factor number .

Step-1: Prime Factorization of 34148

Prime factors of 34148 are 2, 8537. Prime factorization of 34148 in exponential form is:

34148 = 2² × 8537¹

Step-2: Prime Factorization of 34168

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

34168 = 2³ × 4271¹

Step-3: Factors of 34148

List of positive integer factors of 34148 that divides 34148 without a remainder.

1, 2, 4, 8537, 17074

Step-4: Factors of 34168

List of positive integer factors of 34168 that divides 34148 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34148 and 34168. The biggest common factor number is the GCF number.
So the greatest common factor 34148 and 34168 is 4.

Also check out the Least Common Multiple of 34148 and 34168