What is the Greatest Common Factor of 16008 and 16020?

Greatest common factor (GCF) of 16008 and 16020 is 12.

GCF(16008,16020) = 12

We will now calculate the prime factors of 16008 and 16020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16008 and 16020.

How to find the GCF of 16008 and 16020?

We will first find the prime factorization of 16008 and 16020. After we will calculate the factors of 16008 and 16020 and find the biggest common factor number .

Step-1: Prime Factorization of 16008

Prime factors of 16008 are 2, 3, 23, 29. Prime factorization of 16008 in exponential form is:

16008 = 2³ × 3¹ × 23¹ × 29¹

Step-2: Prime Factorization of 16020

Prime factors of 16020 are 2, 3, 5, 89. Prime factorization of 16020 in exponential form is:

16020 = 2² × 3² × 5¹ × 89¹

Step-3: Factors of 16008

List of positive integer factors of 16008 that divides 16008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 29, 46, 58, 69, 87, 92, 116, 138, 174, 184, 232, 276, 348, 552, 667, 696, 1334, 2001, 2668, 4002, 5336, 8004

Step-4: Factors of 16020

List of positive integer factors of 16020 that divides 16008 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 89, 90, 178, 180, 267, 356, 445, 534, 801, 890, 1068, 1335, 1602, 1780, 2670, 3204, 4005, 5340, 8010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16008 and 16020. The biggest common factor number is the GCF number.
So the greatest common factor 16008 and 16020 is 12.

Also check out the Least Common Multiple of 16008 and 16020