What is the Greatest Common Factor of 67065 and 67069?

Greatest common factor (GCF) of 67065 and 67069 is 1.

GCF(67065,67069) = 1

We will now calculate the prime factors of 67065 and 67069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67065 and 67069.

How to find the GCF of 67065 and 67069?

We will first find the prime factorization of 67065 and 67069. After we will calculate the factors of 67065 and 67069 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 67069

Prime factors of 67069 are 47, 1427. Prime factorization of 67069 in exponential form is:

67069 = 47¹ × 1427¹

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 67069

List of positive integer factors of 67069 that divides 67065 without a remainder.

1, 47, 1427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67065 and 67069. The biggest common factor number is the GCF number.
So the greatest common factor 67065 and 67069 is 1.

Also check out the Least Common Multiple of 67065 and 67069