What is the Greatest Common Factor of 16020 and 16038?

Greatest common factor (GCF) of 16020 and 16038 is 18.

GCF(16020,16038) = 18

We will now calculate the prime factors of 16020 and 16038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16020 and 16038.

How to find the GCF of 16020 and 16038?

We will first find the prime factorization of 16020 and 16038. After we will calculate the factors of 16020 and 16038 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 16038

Prime factors of 16038 are 2, 3, 11. Prime factorization of 16038 in exponential form is:

16038 = 2¹ × 3⁶ × 11¹

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 16038

List of positive integer factors of 16038 that divides 16020 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 729, 891, 1458, 1782, 2673, 5346, 8019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16020 and 16038. The biggest common factor number is the GCF number.
So the greatest common factor 16020 and 16038 is 18.

Also check out the Least Common Multiple of 16020 and 16038