What is the Greatest Common Factor of 34029 and 34037?

Greatest common factor (GCF) of 34029 and 34037 is 1.

GCF(34029,34037) = 1

We will now calculate the prime factors of 34029 and 34037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34029 and 34037.

How to find the GCF of 34029 and 34037?

We will first find the prime factorization of 34029 and 34037. After we will calculate the factors of 34029 and 34037 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 34037

Prime factors of 34037 are 101, 337. Prime factorization of 34037 in exponential form is:

34037 = 101¹ × 337¹

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 34037

List of positive integer factors of 34037 that divides 34029 without a remainder.

1, 101, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34029 and 34037. The biggest common factor number is the GCF number.
So the greatest common factor 34029 and 34037 is 1.

Also check out the Least Common Multiple of 34029 and 34037