What is the Greatest Common Factor of 67999 and 68005?

Greatest common factor (GCF) of 67999 and 68005 is 1.

GCF(67999,68005) = 1

We will now calculate the prime factors of 67999 and 68005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67999 and 68005.

How to find the GCF of 67999 and 68005?

We will first find the prime factorization of 67999 and 68005. After we will calculate the factors of 67999 and 68005 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 68005

Prime factors of 68005 are 5, 7, 29, 67. Prime factorization of 68005 in exponential form is:

68005 = 5¹ × 7¹ × 29¹ × 67¹

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 68005

List of positive integer factors of 68005 that divides 67999 without a remainder.

1, 5, 7, 29, 35, 67, 145, 203, 335, 469, 1015, 1943, 2345, 9715, 13601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67999 and 68005. The biggest common factor number is the GCF number.
So the greatest common factor 67999 and 68005 is 1.

Also check out the Least Common Multiple of 67999 and 68005