What is the Greatest Common Factor of 16029 and 16034?

Greatest common factor (GCF) of 16029 and 16034 is 1.

GCF(16029,16034) = 1

We will now calculate the prime factors of 16029 and 16034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16029 and 16034.

How to find the GCF of 16029 and 16034?

We will first find the prime factorization of 16029 and 16034. After we will calculate the factors of 16029 and 16034 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 16034

Prime factors of 16034 are 2, 8017. Prime factorization of 16034 in exponential form is:

16034 = 2¹ × 8017¹

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 16034

List of positive integer factors of 16034 that divides 16029 without a remainder.

1, 2, 8017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16029 and 16034. The biggest common factor number is the GCF number.
So the greatest common factor 16029 and 16034 is 1.

Also check out the Least Common Multiple of 16029 and 16034