What is the Greatest Common Factor of 16064 and 16074?

Greatest common factor (GCF) of 16064 and 16074 is 2.

GCF(16064,16074) = 2

We will now calculate the prime factors of 16064 and 16074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16064 and 16074.

How to find the GCF of 16064 and 16074?

We will first find the prime factorization of 16064 and 16074. After we will calculate the factors of 16064 and 16074 and find the biggest common factor number .

Step-1: Prime Factorization of 16064

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

16064 = 2⁶ × 251¹

Step-2: Prime Factorization of 16074

Prime factors of 16074 are 2, 3, 19, 47. Prime factorization of 16074 in exponential form is:

16074 = 2¹ × 3² × 19¹ × 47¹

Step-3: Factors of 16064

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

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

Step-4: Factors of 16074

List of positive integer factors of 16074 that divides 16064 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 47, 57, 94, 114, 141, 171, 282, 342, 423, 846, 893, 1786, 2679, 5358, 8037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16064 and 16074. The biggest common factor number is the GCF number.
So the greatest common factor 16064 and 16074 is 2.

Also check out the Least Common Multiple of 16064 and 16074