What is the Greatest Common Factor of 16005 and 16020?

Greatest common factor (GCF) of 16005 and 16020 is 15.

GCF(16005,16020) = 15

We will now calculate the prime factors of 16005 and 16020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16005 and 16020.

How to find the GCF of 16005 and 16020?

We will first find the prime factorization of 16005 and 16020. After we will calculate the factors of 16005 and 16020 and find the biggest common factor number .

Step-1: Prime Factorization of 16005

Prime factors of 16005 are 3, 5, 11, 97. Prime factorization of 16005 in exponential form is:

16005 = 3¹ × 5¹ × 11¹ × 97¹

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 16005

List of positive integer factors of 16005 that divides 16005 without a remainder.

1, 3, 5, 11, 15, 33, 55, 97, 165, 291, 485, 1067, 1455, 3201, 5335

Step-4: Factors of 16020

List of positive integer factors of 16020 that divides 16005 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 16005 and 16020. The biggest common factor number is the GCF number.
So the greatest common factor 16005 and 16020 is 15.

Also check out the Least Common Multiple of 16005 and 16020