What is the Greatest Common Factor of 16029 and 16036?

Greatest common factor (GCF) of 16029 and 16036 is 1.

GCF(16029,16036) = 1

We will now calculate the prime factors of 16029 and 16036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16029 and 16036.

How to find the GCF of 16029 and 16036?

We will first find the prime factorization of 16029 and 16036. After we will calculate the factors of 16029 and 16036 and find the biggest common factor number .

Step-1: Prime Factorization of 16029

Prime factors of 16029 are 3, 13, 137. Prime factorization of 16029 in exponential form is:

16029 = 3² × 13¹ × 137¹

Step-2: Prime Factorization of 16036

Prime factors of 16036 are 2, 19, 211. Prime factorization of 16036 in exponential form is:

16036 = 2² × 19¹ × 211¹

Step-3: Factors of 16029

List of positive integer factors of 16029 that divides 16029 without a remainder.

1, 3, 9, 13, 39, 117, 137, 411, 1233, 1781, 5343

Step-4: Factors of 16036

List of positive integer factors of 16036 that divides 16029 without a remainder.

1, 2, 4, 19, 38, 76, 211, 422, 844, 4009, 8018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16029 and 16036. The biggest common factor number is the GCF number.
So the greatest common factor 16029 and 16036 is 1.

Also check out the Least Common Multiple of 16029 and 16036