What is the Greatest Common Factor of 68014 and 68034?

Greatest common factor (GCF) of 68014 and 68034 is 2.

GCF(68014,68034) = 2

We will now calculate the prime factors of 68014 and 68034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68014 and 68034.

How to find the GCF of 68014 and 68034?

We will first find the prime factorization of 68014 and 68034. After we will calculate the factors of 68014 and 68034 and find the biggest common factor number .

Step-1: Prime Factorization of 68014

Prime factors of 68014 are 2, 31, 1097. Prime factorization of 68014 in exponential form is:

68014 = 2¹ × 31¹ × 1097¹

Step-2: 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-3: Factors of 68014

List of positive integer factors of 68014 that divides 68014 without a remainder.

1, 2, 31, 62, 1097, 2194, 34007

Step-4: Factors of 68034

List of positive integer factors of 68034 that divides 68014 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68014 and 68034. The biggest common factor number is the GCF number.
So the greatest common factor 68014 and 68034 is 2.

Also check out the Least Common Multiple of 68014 and 68034