What is the Greatest Common Factor of 16045 and 16064?

Greatest common factor (GCF) of 16045 and 16064 is 1.

GCF(16045,16064) = 1

We will now calculate the prime factors of 16045 and 16064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16045 and 16064.

How to find the GCF of 16045 and 16064?

We will first find the prime factorization of 16045 and 16064. After we will calculate the factors of 16045 and 16064 and find the biggest common factor number .

Step-1: Prime Factorization of 16045

Prime factors of 16045 are 5, 3209. Prime factorization of 16045 in exponential form is:

16045 = 5¹ × 3209¹

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 16045

List of positive integer factors of 16045 that divides 16045 without a remainder.

1, 5, 3209

Step-4: Factors of 16064

List of positive integer factors of 16064 that divides 16045 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 16045 and 16064. The biggest common factor number is the GCF number.
So the greatest common factor 16045 and 16064 is 1.

Also check out the Least Common Multiple of 16045 and 16064