What is the Greatest Common Factor of 68067 and 68073?

Greatest common factor (GCF) of 68067 and 68073 is 3.

GCF(68067,68073) = 3

We will now calculate the prime factors of 68067 and 68073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68067 and 68073.

How to find the GCF of 68067 and 68073?

We will first find the prime factorization of 68067 and 68073. After we will calculate the factors of 68067 and 68073 and find the biggest common factor number .

Step-1: Prime Factorization of 68067

Prime factors of 68067 are 3, 2521. Prime factorization of 68067 in exponential form is:

68067 = 3³ × 2521¹

Step-2: Prime Factorization of 68073

Prime factors of 68073 are 3, 22691. Prime factorization of 68073 in exponential form is:

68073 = 3¹ × 22691¹

Step-3: Factors of 68067

List of positive integer factors of 68067 that divides 68067 without a remainder.

1, 3, 9, 27, 2521, 7563, 22689

Step-4: Factors of 68073

List of positive integer factors of 68073 that divides 68067 without a remainder.

1, 3, 22691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68067 and 68073. The biggest common factor number is the GCF number.
So the greatest common factor 68067 and 68073 is 3.

Also check out the Least Common Multiple of 68067 and 68073