What is the Greatest Common Factor of 68238 and 68258?

Greatest common factor (GCF) of 68238 and 68258 is 2.

GCF(68238,68258) = 2

We will now calculate the prime factors of 68238 and 68258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68238 and 68258.

How to find the GCF of 68238 and 68258?

We will first find the prime factorization of 68238 and 68258. After we will calculate the factors of 68238 and 68258 and find the biggest common factor number .

Step-1: Prime Factorization of 68238

Prime factors of 68238 are 2, 3, 17, 223. Prime factorization of 68238 in exponential form is:

68238 = 2¹ × 3² × 17¹ × 223¹

Step-2: Prime Factorization of 68258

Prime factors of 68258 are 2, 34129. Prime factorization of 68258 in exponential form is:

68258 = 2¹ × 34129¹

Step-3: Factors of 68238

List of positive integer factors of 68238 that divides 68238 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 223, 306, 446, 669, 1338, 2007, 3791, 4014, 7582, 11373, 22746, 34119

Step-4: Factors of 68258

List of positive integer factors of 68258 that divides 68238 without a remainder.

1, 2, 34129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68238 and 68258. The biggest common factor number is the GCF number.
So the greatest common factor 68238 and 68258 is 2.

Also check out the Least Common Multiple of 68238 and 68258