What is the Greatest Common Factor of 67089 and 67097?

Greatest common factor (GCF) of 67089 and 67097 is 1.

GCF(67089,67097) = 1

We will now calculate the prime factors of 67089 and 67097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67089 and 67097.

How to find the GCF of 67089 and 67097?

We will first find the prime factorization of 67089 and 67097. After we will calculate the factors of 67089 and 67097 and find the biggest common factor number .

Step-1: Prime Factorization of 67089

Prime factors of 67089 are 3, 11, 19, 107. Prime factorization of 67089 in exponential form is:

67089 = 3¹ × 11¹ × 19¹ × 107¹

Step-2: Prime Factorization of 67097

Prime factors of 67097 are 229, 293. Prime factorization of 67097 in exponential form is:

67097 = 229¹ × 293¹

Step-3: Factors of 67089

List of positive integer factors of 67089 that divides 67089 without a remainder.

1, 3, 11, 19, 33, 57, 107, 209, 321, 627, 1177, 2033, 3531, 6099, 22363

Step-4: Factors of 67097

List of positive integer factors of 67097 that divides 67089 without a remainder.

1, 229, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67089 and 67097. The biggest common factor number is the GCF number.
So the greatest common factor 67089 and 67097 is 1.

Also check out the Least Common Multiple of 67089 and 67097