What is the Greatest Common Factor of 68204 and 68221?

Greatest common factor (GCF) of 68204 and 68221 is 17.

GCF(68204,68221) = 17

We will now calculate the prime factors of 68204 and 68221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68204 and 68221.

How to find the GCF of 68204 and 68221?

We will first find the prime factorization of 68204 and 68221. After we will calculate the factors of 68204 and 68221 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 68221

Prime factors of 68221 are 17, 4013. Prime factorization of 68221 in exponential form is:

68221 = 17¹ × 4013¹

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 68221

List of positive integer factors of 68221 that divides 68204 without a remainder.

1, 17, 4013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68204 and 68221. The biggest common factor number is the GCF number.
So the greatest common factor 68204 and 68221 is 17.

Also check out the Least Common Multiple of 68204 and 68221