What is the Greatest Common Factor of 34029 and 34049?

Greatest common factor (GCF) of 34029 and 34049 is 1.

GCF(34029,34049) = 1

We will now calculate the prime factors of 34029 and 34049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34029 and 34049.

How to find the GCF of 34029 and 34049?

We will first find the prime factorization of 34029 and 34049. After we will calculate the factors of 34029 and 34049 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 34049

Prime factors of 34049 are 79, 431. Prime factorization of 34049 in exponential form is:

34049 = 79¹ × 431¹

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 34049

List of positive integer factors of 34049 that divides 34029 without a remainder.

1, 79, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34029 and 34049. The biggest common factor number is the GCF number.
So the greatest common factor 34029 and 34049 is 1.

Also check out the Least Common Multiple of 34029 and 34049