What is the Greatest Common Factor of 68029 and 68042?

Greatest common factor (GCF) of 68029 and 68042 is 13.

GCF(68029,68042) = 13

We will now calculate the prime factors of 68029 and 68042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68029 and 68042.

How to find the GCF of 68029 and 68042?

We will first find the prime factorization of 68029 and 68042. After we will calculate the factors of 68029 and 68042 and find the biggest common factor number .

Step-1: Prime Factorization of 68029

Prime factors of 68029 are 13, 5233. Prime factorization of 68029 in exponential form is:

68029 = 13¹ × 5233¹

Step-2: Prime Factorization of 68042

Prime factors of 68042 are 2, 13, 2617. Prime factorization of 68042 in exponential form is:

68042 = 2¹ × 13¹ × 2617¹

Step-3: Factors of 68029

List of positive integer factors of 68029 that divides 68029 without a remainder.

1, 13, 5233

Step-4: Factors of 68042

List of positive integer factors of 68042 that divides 68029 without a remainder.

1, 2, 13, 26, 2617, 5234, 34021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68029 and 68042. The biggest common factor number is the GCF number.
So the greatest common factor 68029 and 68042 is 13.

Also check out the Least Common Multiple of 68029 and 68042