What is the Greatest Common Factor of 68204 and 68214?

Greatest common factor (GCF) of 68204 and 68214 is 2.

GCF(68204,68214) = 2

We will now calculate the prime factors of 68204 and 68214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68204 and 68214.

How to find the GCF of 68204 and 68214?

We will first find the prime factorization of 68204 and 68214. After we will calculate the factors of 68204 and 68214 and find the biggest common factor number .

Step-1: Prime Factorization of 68204

Prime factors of 68204 are 2, 17, 59. Prime factorization of 68204 in exponential form is:

68204 = 2² × 17² × 59¹

Step-2: 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-3: Factors of 68204

List of positive integer factors of 68204 that divides 68204 without a remainder.

1, 2, 4, 17, 34, 59, 68, 118, 236, 289, 578, 1003, 1156, 2006, 4012, 17051, 34102

Step-4: Factors of 68214

List of positive integer factors of 68214 that divides 68204 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68204 and 68214. The biggest common factor number is the GCF number.
So the greatest common factor 68204 and 68214 is 2.

Also check out the Least Common Multiple of 68204 and 68214