What is the Greatest Common Factor of 68324 and 68343?

Greatest common factor (GCF) of 68324 and 68343 is 19.

GCF(68324,68343) = 19

We will now calculate the prime factors of 68324 and 68343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68324 and 68343.

How to find the GCF of 68324 and 68343?

We will first find the prime factorization of 68324 and 68343. After we will calculate the factors of 68324 and 68343 and find the biggest common factor number .

Step-1: Prime Factorization of 68324

Prime factors of 68324 are 2, 19, 29, 31. Prime factorization of 68324 in exponential form is:

68324 = 2² × 19¹ × 29¹ × 31¹

Step-2: 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-3: Factors of 68324

List of positive integer factors of 68324 that divides 68324 without a remainder.

1, 2, 4, 19, 29, 31, 38, 58, 62, 76, 116, 124, 551, 589, 899, 1102, 1178, 1798, 2204, 2356, 3596, 17081, 34162

Step-4: Factors of 68343

List of positive integer factors of 68343 that divides 68324 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68324 and 68343. The biggest common factor number is the GCF number.
So the greatest common factor 68324 and 68343 is 19.

Also check out the Least Common Multiple of 68324 and 68343