What is the Greatest Common Factor of 68034 and 68039?

Greatest common factor (GCF) of 68034 and 68039 is 1.

GCF(68034,68039) = 1

We will now calculate the prime factors of 68034 and 68039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68034 and 68039.

How to find the GCF of 68034 and 68039?

We will first find the prime factorization of 68034 and 68039. After we will calculate the factors of 68034 and 68039 and find the biggest common factor number .

Step-1: Prime Factorization of 68034

Prime factors of 68034 are 2, 3, 17, 23, 29. Prime factorization of 68034 in exponential form is:

68034 = 2¹ × 3¹ × 17¹ × 23¹ × 29¹

Step-2: Prime Factorization of 68039

Prime factors of 68039 are 19, 3581. Prime factorization of 68039 in exponential form is:

68039 = 19¹ × 3581¹

Step-3: Factors of 68034

List of positive integer factors of 68034 that divides 68034 without a remainder.

1, 2, 3, 6, 17, 23, 29, 34, 46, 51, 58, 69, 87, 102, 138, 174, 391, 493, 667, 782, 986, 1173, 1334, 1479, 2001, 2346, 2958, 4002, 11339, 22678, 34017

Step-4: Factors of 68039

List of positive integer factors of 68039 that divides 68034 without a remainder.

1, 19, 3581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68034 and 68039. The biggest common factor number is the GCF number.
So the greatest common factor 68034 and 68039 is 1.

Also check out the Least Common Multiple of 68034 and 68039