What is the Greatest Common Factor of 68257 and 68268?

Greatest common factor (GCF) of 68257 and 68268 is 1.

GCF(68257,68268) = 1

We will now calculate the prime factors of 68257 and 68268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68257 and 68268.

How to find the GCF of 68257 and 68268?

We will first find the prime factorization of 68257 and 68268. After we will calculate the factors of 68257 and 68268 and find the biggest common factor number .

Step-1: Prime Factorization of 68257

Prime factors of 68257 are 7, 199. Prime factorization of 68257 in exponential form is:

68257 = 7³ × 199¹

Step-2: Prime Factorization of 68268

Prime factors of 68268 are 2, 3, 5689. Prime factorization of 68268 in exponential form is:

68268 = 2² × 3¹ × 5689¹

Step-3: Factors of 68257

List of positive integer factors of 68257 that divides 68257 without a remainder.

1, 7, 49, 199, 343, 1393, 9751

Step-4: Factors of 68268

List of positive integer factors of 68268 that divides 68257 without a remainder.

1, 2, 3, 4, 6, 12, 5689, 11378, 17067, 22756, 34134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68257 and 68268. The biggest common factor number is the GCF number.
So the greatest common factor 68257 and 68268 is 1.

Also check out the Least Common Multiple of 68257 and 68268