What is the Greatest Common Factor of 34032 and 34039?

Greatest common factor (GCF) of 34032 and 34039 is 1.

GCF(34032,34039) = 1

We will now calculate the prime factors of 34032 and 34039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34032 and 34039.

How to find the GCF of 34032 and 34039?

We will first find the prime factorization of 34032 and 34039. After we will calculate the factors of 34032 and 34039 and find the biggest common factor number .

Step-1: Prime Factorization of 34032

Prime factors of 34032 are 2, 3, 709. Prime factorization of 34032 in exponential form is:

34032 = 2⁴ × 3¹ × 709¹

Step-2: Prime Factorization of 34039

Prime factors of 34039 are 34039. Prime factorization of 34039 in exponential form is:

34039 = 34039¹

Step-3: Factors of 34032

List of positive integer factors of 34032 that divides 34032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 709, 1418, 2127, 2836, 4254, 5672, 8508, 11344, 17016

Step-4: Factors of 34039

List of positive integer factors of 34039 that divides 34032 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34032 and 34039. The biggest common factor number is the GCF number.
So the greatest common factor 34032 and 34039 is 1.

Also check out the Least Common Multiple of 34032 and 34039