What is the Greatest Common Factor of 34029 and 34044?

Greatest common factor (GCF) of 34029 and 34044 is 3.

GCF(34029,34044) = 3

We will now calculate the prime factors of 34029 and 34044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34029 and 34044.

How to find the GCF of 34029 and 34044?

We will first find the prime factorization of 34029 and 34044. After we will calculate the factors of 34029 and 34044 and find the biggest common factor number .

Step-1: Prime Factorization of 34029

Prime factors of 34029 are 3, 19, 199. Prime factorization of 34029 in exponential form is:

34029 = 3² × 19¹ × 199¹

Step-2: Prime Factorization of 34044

Prime factors of 34044 are 2, 3, 2837. Prime factorization of 34044 in exponential form is:

34044 = 2² × 3¹ × 2837¹

Step-3: Factors of 34029

List of positive integer factors of 34029 that divides 34029 without a remainder.

1, 3, 9, 19, 57, 171, 199, 597, 1791, 3781, 11343

Step-4: Factors of 34044

List of positive integer factors of 34044 that divides 34029 without a remainder.

1, 2, 3, 4, 6, 12, 2837, 5674, 8511, 11348, 17022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34029 and 34044. The biggest common factor number is the GCF number.
So the greatest common factor 34029 and 34044 is 3.

Also check out the Least Common Multiple of 34029 and 34044