What is the Greatest Common Factor of 68324 and 68339?

Greatest common factor (GCF) of 68324 and 68339 is 1.

GCF(68324,68339) = 1

We will now calculate the prime factors of 68324 and 68339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68324 and 68339.

How to find the GCF of 68324 and 68339?

We will first find the prime factorization of 68324 and 68339. After we will calculate the factors of 68324 and 68339 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 68339

Prime factors of 68339 are 37, 1847. Prime factorization of 68339 in exponential form is:

68339 = 37¹ × 1847¹

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 68339

List of positive integer factors of 68339 that divides 68324 without a remainder.

1, 37, 1847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68324 and 68339. The biggest common factor number is the GCF number.
So the greatest common factor 68324 and 68339 is 1.

Also check out the Least Common Multiple of 68324 and 68339