What is the Greatest Common Factor of 67599 and 67607?

Greatest common factor (GCF) of 67599 and 67607 is 1.

GCF(67599,67607) = 1

We will now calculate the prime factors of 67599 and 67607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67599 and 67607.

How to find the GCF of 67599 and 67607?

We will first find the prime factorization of 67599 and 67607. After we will calculate the factors of 67599 and 67607 and find the biggest common factor number .

Step-1: Prime Factorization of 67599

Prime factors of 67599 are 3, 7, 29, 37. Prime factorization of 67599 in exponential form is:

67599 = 3² × 7¹ × 29¹ × 37¹

Step-2: Prime Factorization of 67607

Prime factors of 67607 are 67607. Prime factorization of 67607 in exponential form is:

67607 = 67607¹

Step-3: Factors of 67599

List of positive integer factors of 67599 that divides 67599 without a remainder.

1, 3, 7, 9, 21, 29, 37, 63, 87, 111, 203, 259, 261, 333, 609, 777, 1073, 1827, 2331, 3219, 7511, 9657, 22533

Step-4: Factors of 67607

List of positive integer factors of 67607 that divides 67599 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67599 and 67607. The biggest common factor number is the GCF number.
So the greatest common factor 67599 and 67607 is 1.

Also check out the Least Common Multiple of 67599 and 67607