What is the Greatest Common Factor of 67997 and 68013?

Greatest common factor (GCF) of 67997 and 68013 is 1.

GCF(67997,68013) = 1

We will now calculate the prime factors of 67997 and 68013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67997 and 68013.

How to find the GCF of 67997 and 68013?

We will first find the prime factorization of 67997 and 68013. After we will calculate the factors of 67997 and 68013 and find the biggest common factor number .

Step-1: Prime Factorization of 67997

Prime factors of 67997 are 97, 701. Prime factorization of 67997 in exponential form is:

67997 = 97¹ × 701¹

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 67997

List of positive integer factors of 67997 that divides 67997 without a remainder.

1, 97, 701

Step-4: Factors of 68013

List of positive integer factors of 68013 that divides 67997 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 67997 and 68013. The biggest common factor number is the GCF number.
So the greatest common factor 67997 and 68013 is 1.

Also check out the Least Common Multiple of 67997 and 68013