What is the Greatest Common Factor of 68343 and 68363?

Greatest common factor (GCF) of 68343 and 68363 is 1.

GCF(68343,68363) = 1

We will now calculate the prime factors of 68343 and 68363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68343 and 68363.

How to find the GCF of 68343 and 68363?

We will first find the prime factorization of 68343 and 68363. After we will calculate the factors of 68343 and 68363 and find the biggest common factor number .

Step-1: Prime Factorization of 68343

Prime factors of 68343 are 3, 11, 19, 109. Prime factorization of 68343 in exponential form is:

68343 = 3¹ × 11¹ × 19¹ × 109¹

Step-2: Prime Factorization of 68363

Prime factors of 68363 are 137, 499. Prime factorization of 68363 in exponential form is:

68363 = 137¹ × 499¹

Step-3: Factors of 68343

List of positive integer factors of 68343 that divides 68343 without a remainder.

1, 3, 11, 19, 33, 57, 109, 209, 327, 627, 1199, 2071, 3597, 6213, 22781

Step-4: Factors of 68363

List of positive integer factors of 68363 that divides 68343 without a remainder.

1, 137, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68343 and 68363. The biggest common factor number is the GCF number.
So the greatest common factor 68343 and 68363 is 1.

Also check out the Least Common Multiple of 68343 and 68363