What is the Greatest Common Factor of 16034 and 16054?

Greatest common factor (GCF) of 16034 and 16054 is 2.

GCF(16034,16054) = 2

We will now calculate the prime factors of 16034 and 16054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16034 and 16054.

How to find the GCF of 16034 and 16054?

We will first find the prime factorization of 16034 and 16054. After we will calculate the factors of 16034 and 16054 and find the biggest common factor number .

Step-1: Prime Factorization of 16034

Prime factors of 16034 are 2, 8017. Prime factorization of 16034 in exponential form is:

16034 = 2¹ × 8017¹

Step-2: Prime Factorization of 16054

Prime factors of 16054 are 2, 23, 349. Prime factorization of 16054 in exponential form is:

16054 = 2¹ × 23¹ × 349¹

Step-3: Factors of 16034

List of positive integer factors of 16034 that divides 16034 without a remainder.

1, 2, 8017

Step-4: Factors of 16054

List of positive integer factors of 16054 that divides 16034 without a remainder.

1, 2, 23, 46, 349, 698, 8027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16034 and 16054. The biggest common factor number is the GCF number.
So the greatest common factor 16034 and 16054 is 2.

Also check out the Least Common Multiple of 16034 and 16054