What is the Greatest Common Factor of 67999 and 68013?

Greatest common factor (GCF) of 67999 and 68013 is 1.

GCF(67999,68013) = 1

We will now calculate the prime factors of 67999 and 68013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67999 and 68013.

How to find the GCF of 67999 and 68013?

We will first find the prime factorization of 67999 and 68013. After we will calculate the factors of 67999 and 68013 and find the biggest common factor number .

Step-1: Prime Factorization of 67999

Prime factors of 67999 are 53, 1283. Prime factorization of 67999 in exponential form is:

67999 = 53¹ × 1283¹

Step-2: Prime Factorization of 68013

Prime factors of 68013 are 3, 11, 229. Prime factorization of 68013 in exponential form is:

68013 = 3³ × 11¹ × 229¹

Step-3: Factors of 67999

List of positive integer factors of 67999 that divides 67999 without a remainder.

1, 53, 1283

Step-4: Factors of 68013

List of positive integer factors of 68013 that divides 67999 without a remainder.

1, 3, 9, 11, 27, 33, 99, 229, 297, 687, 2061, 2519, 6183, 7557, 22671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67999 and 68013. The biggest common factor number is the GCF number.
So the greatest common factor 67999 and 68013 is 1.

Also check out the Least Common Multiple of 67999 and 68013