What is the Greatest Common Factor of 32034 and 32039?

Greatest common factor (GCF) of 32034 and 32039 is 1.

GCF(32034,32039) = 1

We will now calculate the prime factors of 32034 and 32039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32034 and 32039.

How to find the GCF of 32034 and 32039?

We will first find the prime factorization of 32034 and 32039. After we will calculate the factors of 32034 and 32039 and find the biggest common factor number .

Step-1: Prime Factorization of 32034

Prime factors of 32034 are 2, 3, 19, 281. Prime factorization of 32034 in exponential form is:

32034 = 2¹ × 3¹ × 19¹ × 281¹

Step-2: Prime Factorization of 32039

Prime factors of 32039 are 7, 23, 199. Prime factorization of 32039 in exponential form is:

32039 = 7¹ × 23¹ × 199¹

Step-3: Factors of 32034

List of positive integer factors of 32034 that divides 32034 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 281, 562, 843, 1686, 5339, 10678, 16017

Step-4: Factors of 32039

List of positive integer factors of 32039 that divides 32034 without a remainder.

1, 7, 23, 161, 199, 1393, 4577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32034 and 32039. The biggest common factor number is the GCF number.
So the greatest common factor 32034 and 32039 is 1.

Also check out the Least Common Multiple of 32034 and 32039