What is the Greatest Common Factor of 16048 and 16064?

Greatest common factor (GCF) of 16048 and 16064 is 16.

GCF(16048,16064) = 16

We will now calculate the prime factors of 16048 and 16064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16048 and 16064.

How to find the GCF of 16048 and 16064?

We will first find the prime factorization of 16048 and 16064. After we will calculate the factors of 16048 and 16064 and find the biggest common factor number .

Step-1: Prime Factorization of 16048

Prime factors of 16048 are 2, 17, 59. Prime factorization of 16048 in exponential form is:

16048 = 2⁴ × 17¹ × 59¹

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 16048

List of positive integer factors of 16048 that divides 16048 without a remainder.

1, 2, 4, 8, 16, 17, 34, 59, 68, 118, 136, 236, 272, 472, 944, 1003, 2006, 4012, 8024

Step-4: Factors of 16064

List of positive integer factors of 16064 that divides 16048 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 16048 and 16064. The biggest common factor number is the GCF number.
So the greatest common factor 16048 and 16064 is 16.

Also check out the Least Common Multiple of 16048 and 16064