What is the Greatest Common Factor of 68338 and 68356?

Greatest common factor (GCF) of 68338 and 68356 is 2.

GCF(68338,68356) = 2

We will now calculate the prime factors of 68338 and 68356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68338 and 68356.

How to find the GCF of 68338 and 68356?

We will first find the prime factorization of 68338 and 68356. After we will calculate the factors of 68338 and 68356 and find the biggest common factor number .

Step-1: Prime Factorization of 68338

Prime factors of 68338 are 2, 47, 727. Prime factorization of 68338 in exponential form is:

68338 = 2¹ × 47¹ × 727¹

Step-2: Prime Factorization of 68356

Prime factors of 68356 are 2, 23, 743. Prime factorization of 68356 in exponential form is:

68356 = 2² × 23¹ × 743¹

Step-3: Factors of 68338

List of positive integer factors of 68338 that divides 68338 without a remainder.

1, 2, 47, 94, 727, 1454, 34169

Step-4: Factors of 68356

List of positive integer factors of 68356 that divides 68338 without a remainder.

1, 2, 4, 23, 46, 92, 743, 1486, 2972, 17089, 34178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68338 and 68356. The biggest common factor number is the GCF number.
So the greatest common factor 68338 and 68356 is 2.

Also check out the Least Common Multiple of 68338 and 68356