What is the Greatest Common Factor of 16144 and 16160?

Greatest common factor (GCF) of 16144 and 16160 is 16.

GCF(16144,16160) = 16

We will now calculate the prime factors of 16144 and 16160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16144 and 16160.

How to find the GCF of 16144 and 16160?

We will first find the prime factorization of 16144 and 16160. After we will calculate the factors of 16144 and 16160 and find the biggest common factor number .

Step-1: Prime Factorization of 16144

Prime factors of 16144 are 2, 1009. Prime factorization of 16144 in exponential form is:

16144 = 2⁴ × 1009¹

Step-2: Prime Factorization of 16160

Prime factors of 16160 are 2, 5, 101. Prime factorization of 16160 in exponential form is:

16160 = 2⁵ × 5¹ × 101¹

Step-3: Factors of 16144

List of positive integer factors of 16144 that divides 16144 without a remainder.

1, 2, 4, 8, 16, 1009, 2018, 4036, 8072

Step-4: Factors of 16160

List of positive integer factors of 16160 that divides 16144 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 101, 160, 202, 404, 505, 808, 1010, 1616, 2020, 3232, 4040, 8080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16144 and 16160. The biggest common factor number is the GCF number.
So the greatest common factor 16144 and 16160 is 16.

Also check out the Least Common Multiple of 16144 and 16160