What is the Greatest Common Factor of 68214 and 68231?

Greatest common factor (GCF) of 68214 and 68231 is 1.

GCF(68214,68231) = 1

We will now calculate the prime factors of 68214 and 68231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68214 and 68231.

How to find the GCF of 68214 and 68231?

We will first find the prime factorization of 68214 and 68231. After we will calculate the factors of 68214 and 68231 and find the biggest common factor number .

Step-1: Prime Factorization of 68214

Prime factors of 68214 are 2, 3, 11369. Prime factorization of 68214 in exponential form is:

68214 = 2¹ × 3¹ × 11369¹

Step-2: Prime Factorization of 68231

Prime factors of 68231 are 31, 71. Prime factorization of 68231 in exponential form is:

68231 = 31² × 71¹

Step-3: Factors of 68214

List of positive integer factors of 68214 that divides 68214 without a remainder.

1, 2, 3, 6, 11369, 22738, 34107

Step-4: Factors of 68231

List of positive integer factors of 68231 that divides 68214 without a remainder.

1, 31, 71, 961, 2201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68214 and 68231. The biggest common factor number is the GCF number.
So the greatest common factor 68214 and 68231 is 1.

Also check out the Least Common Multiple of 68214 and 68231