What is the Greatest Common Factor of 16054 and 16064?

Greatest common factor (GCF) of 16054 and 16064 is 2.

GCF(16054,16064) = 2

We will now calculate the prime factors of 16054 and 16064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16054 and 16064.

How to find the GCF of 16054 and 16064?

We will first find the prime factorization of 16054 and 16064. After we will calculate the factors of 16054 and 16064 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16064

Prime factors of 16064 are 2, 251. Prime factorization of 16064 in exponential form is:

16064 = 2⁶ × 251¹

Step-3: Factors of 16054

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

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

Step-4: Factors of 16064

List of positive integer factors of 16064 that divides 16054 without a remainder.

1, 2, 4, 8, 16, 32, 64, 251, 502, 1004, 2008, 4016, 8032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16054 and 16064. The biggest common factor number is the GCF number.
So the greatest common factor 16054 and 16064 is 2.

Also check out the Least Common Multiple of 16054 and 16064