What is the Greatest Common Factor of 68042 and 68054?

Greatest common factor (GCF) of 68042 and 68054 is 2.

GCF(68042,68054) = 2

We will now calculate the prime factors of 68042 and 68054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68042 and 68054.

How to find the GCF of 68042 and 68054?

We will first find the prime factorization of 68042 and 68054. After we will calculate the factors of 68042 and 68054 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68054

Prime factors of 68054 are 2, 7, 4861. Prime factorization of 68054 in exponential form is:

68054 = 2¹ × 7¹ × 4861¹

Step-3: Factors of 68042

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

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

Step-4: Factors of 68054

List of positive integer factors of 68054 that divides 68042 without a remainder.

1, 2, 7, 14, 4861, 9722, 34027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68042 and 68054. The biggest common factor number is the GCF number.
So the greatest common factor 68042 and 68054 is 2.

Also check out the Least Common Multiple of 68042 and 68054