What is the Greatest Common Factor of 17036 and 17054?

Greatest common factor (GCF) of 17036 and 17054 is 2.

GCF(17036,17054) = 2

We will now calculate the prime factors of 17036 and 17054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17036 and 17054.

How to find the GCF of 17036 and 17054?

We will first find the prime factorization of 17036 and 17054. After we will calculate the factors of 17036 and 17054 and find the biggest common factor number .

Step-1: Prime Factorization of 17036

Prime factors of 17036 are 2, 4259. Prime factorization of 17036 in exponential form is:

17036 = 2² × 4259¹

Step-2: Prime Factorization of 17054

Prime factors of 17054 are 2, 8527. Prime factorization of 17054 in exponential form is:

17054 = 2¹ × 8527¹

Step-3: Factors of 17036

List of positive integer factors of 17036 that divides 17036 without a remainder.

1, 2, 4, 4259, 8518

Step-4: Factors of 17054

List of positive integer factors of 17054 that divides 17036 without a remainder.

1, 2, 8527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17036 and 17054. The biggest common factor number is the GCF number.
So the greatest common factor 17036 and 17054 is 2.

Also check out the Least Common Multiple of 17036 and 17054