What is the Greatest Common Factor of 67999 and 68004?

Greatest common factor (GCF) of 67999 and 68004 is 1.

GCF(67999,68004) = 1

We will now calculate the prime factors of 67999 and 68004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67999 and 68004.

How to find the GCF of 67999 and 68004?

We will first find the prime factorization of 67999 and 68004. After we will calculate the factors of 67999 and 68004 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 68004

Prime factors of 68004 are 2, 3, 1889. Prime factorization of 68004 in exponential form is:

68004 = 2² × 3² × 1889¹

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 68004

List of positive integer factors of 68004 that divides 67999 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1889, 3778, 5667, 7556, 11334, 17001, 22668, 34002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67999 and 68004. The biggest common factor number is the GCF number.
So the greatest common factor 67999 and 68004 is 1.

Also check out the Least Common Multiple of 67999 and 68004