What is the Greatest Common Factor of 16020 and 16035?

Greatest common factor (GCF) of 16020 and 16035 is 15.

GCF(16020,16035) = 15

We will now calculate the prime factors of 16020 and 16035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16020 and 16035.

How to find the GCF of 16020 and 16035?

We will first find the prime factorization of 16020 and 16035. After we will calculate the factors of 16020 and 16035 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16035

Prime factors of 16035 are 3, 5, 1069. Prime factorization of 16035 in exponential form is:

16035 = 3¹ × 5¹ × 1069¹

Step-3: Factors of 16020

List of positive integer factors of 16020 that divides 16020 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

Step-4: Factors of 16035

List of positive integer factors of 16035 that divides 16020 without a remainder.

1, 3, 5, 15, 1069, 3207, 5345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16020 and 16035. The biggest common factor number is the GCF number.
So the greatest common factor 16020 and 16035 is 15.

Also check out the Least Common Multiple of 16020 and 16035