What is the Greatest Common Factor of 67999 and 68016?

Greatest common factor (GCF) of 67999 and 68016 is 1.

GCF(67999,68016) = 1

We will now calculate the prime factors of 67999 and 68016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67999 and 68016.

How to find the GCF of 67999 and 68016?

We will first find the prime factorization of 67999 and 68016. After we will calculate the factors of 67999 and 68016 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 68016

Prime factors of 68016 are 2, 3, 13, 109. Prime factorization of 68016 in exponential form is:

68016 = 2⁴ × 3¹ × 13¹ × 109¹

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 68016

List of positive integer factors of 68016 that divides 67999 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 109, 156, 208, 218, 312, 327, 436, 624, 654, 872, 1308, 1417, 1744, 2616, 2834, 4251, 5232, 5668, 8502, 11336, 17004, 22672, 34008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67999 and 68016. The biggest common factor number is the GCF number.
So the greatest common factor 67999 and 68016 is 1.

Also check out the Least Common Multiple of 67999 and 68016