What is the Greatest Common Factor of 68258 and 68272?

Greatest common factor (GCF) of 68258 and 68272 is 2.

GCF(68258,68272) = 2

We will now calculate the prime factors of 68258 and 68272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68258 and 68272.

How to find the GCF of 68258 and 68272?

We will first find the prime factorization of 68258 and 68272. After we will calculate the factors of 68258 and 68272 and find the biggest common factor number .

Step-1: Prime Factorization of 68258

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

68258 = 2¹ × 34129¹

Step-2: Prime Factorization of 68272

Prime factors of 68272 are 2, 17, 251. Prime factorization of 68272 in exponential form is:

68272 = 2⁴ × 17¹ × 251¹

Step-3: Factors of 68258

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

1, 2, 34129

Step-4: Factors of 68272

List of positive integer factors of 68272 that divides 68258 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 251, 272, 502, 1004, 2008, 4016, 4267, 8534, 17068, 34136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68258 and 68272. The biggest common factor number is the GCF number.
So the greatest common factor 68258 and 68272 is 2.

Also check out the Least Common Multiple of 68258 and 68272