What is the Greatest Common Factor of 68314 and 68322?

Greatest common factor (GCF) of 68314 and 68322 is 2.

GCF(68314,68322) = 2

We will now calculate the prime factors of 68314 and 68322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68314 and 68322.

How to find the GCF of 68314 and 68322?

We will first find the prime factorization of 68314 and 68322. After we will calculate the factors of 68314 and 68322 and find the biggest common factor number .

Step-1: Prime Factorization of 68314

Prime factors of 68314 are 2, 34157. Prime factorization of 68314 in exponential form is:

68314 = 2¹ × 34157¹

Step-2: Prime Factorization of 68322

Prime factors of 68322 are 2, 3, 59, 193. Prime factorization of 68322 in exponential form is:

68322 = 2¹ × 3¹ × 59¹ × 193¹

Step-3: Factors of 68314

List of positive integer factors of 68314 that divides 68314 without a remainder.

1, 2, 34157

Step-4: Factors of 68322

List of positive integer factors of 68322 that divides 68314 without a remainder.

1, 2, 3, 6, 59, 118, 177, 193, 354, 386, 579, 1158, 11387, 22774, 34161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68314 and 68322. The biggest common factor number is the GCF number.
So the greatest common factor 68314 and 68322 is 2.

Also check out the Least Common Multiple of 68314 and 68322