What is the Greatest Common Factor of 34084 and 34088?

Greatest common factor (GCF) of 34084 and 34088 is 4.

GCF(34084,34088) = 4

We will now calculate the prime factors of 34084 and 34088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34084 and 34088.

How to find the GCF of 34084 and 34088?

We will first find the prime factorization of 34084 and 34088. After we will calculate the factors of 34084 and 34088 and find the biggest common factor number .

Step-1: Prime Factorization of 34084

Prime factors of 34084 are 2, 8521. Prime factorization of 34084 in exponential form is:

34084 = 2² × 8521¹

Step-2: Prime Factorization of 34088

Prime factors of 34088 are 2, 4261. Prime factorization of 34088 in exponential form is:

34088 = 2³ × 4261¹

Step-3: Factors of 34084

List of positive integer factors of 34084 that divides 34084 without a remainder.

1, 2, 4, 8521, 17042

Step-4: Factors of 34088

List of positive integer factors of 34088 that divides 34084 without a remainder.

1, 2, 4, 8, 4261, 8522, 17044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34084 and 34088. The biggest common factor number is the GCF number.
So the greatest common factor 34084 and 34088 is 4.

Also check out the Least Common Multiple of 34084 and 34088