What is the Greatest Common Factor of 68034 and 68045?

Greatest common factor (GCF) of 68034 and 68045 is 1.

GCF(68034,68045) = 1

We will now calculate the prime factors of 68034 and 68045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68034 and 68045.

How to find the GCF of 68034 and 68045?

We will first find the prime factorization of 68034 and 68045. After we will calculate the factors of 68034 and 68045 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 68045

Prime factors of 68045 are 5, 31, 439. Prime factorization of 68045 in exponential form is:

68045 = 5¹ × 31¹ × 439¹

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 68045

List of positive integer factors of 68045 that divides 68034 without a remainder.

1, 5, 31, 155, 439, 2195, 13609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68034 and 68045. The biggest common factor number is the GCF number.
So the greatest common factor 68034 and 68045 is 1.

Also check out the Least Common Multiple of 68034 and 68045