What is the Greatest Common Factor of 34029 and 34041?

Greatest common factor (GCF) of 34029 and 34041 is 3.

GCF(34029,34041) = 3

We will now calculate the prime factors of 34029 and 34041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34029 and 34041.

How to find the GCF of 34029 and 34041?

We will first find the prime factorization of 34029 and 34041. After we will calculate the factors of 34029 and 34041 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 34041

Prime factors of 34041 are 3, 7, 1621. Prime factorization of 34041 in exponential form is:

34041 = 3¹ × 7¹ × 1621¹

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 34041

List of positive integer factors of 34041 that divides 34029 without a remainder.

1, 3, 7, 21, 1621, 4863, 11347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34029 and 34041. The biggest common factor number is the GCF number.
So the greatest common factor 34029 and 34041 is 3.

Also check out the Least Common Multiple of 34029 and 34041