What is the Greatest Common Factor of 67065 and 67073?

Greatest common factor (GCF) of 67065 and 67073 is 1.

GCF(67065,67073) = 1

We will now calculate the prime factors of 67065 and 67073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67065 and 67073.

How to find the GCF of 67065 and 67073?

We will first find the prime factorization of 67065 and 67073. After we will calculate the factors of 67065 and 67073 and find the biggest common factor number .

Step-1: Prime Factorization of 67065

Prime factors of 67065 are 3, 5, 17, 263. Prime factorization of 67065 in exponential form is:

67065 = 3¹ × 5¹ × 17¹ × 263¹

Step-2: Prime Factorization of 67073

Prime factors of 67073 are 67073. Prime factorization of 67073 in exponential form is:

67073 = 67073¹

Step-3: Factors of 67065

List of positive integer factors of 67065 that divides 67065 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 263, 789, 1315, 3945, 4471, 13413, 22355

Step-4: Factors of 67073

List of positive integer factors of 67073 that divides 67065 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67065 and 67073. The biggest common factor number is the GCF number.
So the greatest common factor 67065 and 67073 is 1.

Also check out the Least Common Multiple of 67065 and 67073