What is the Greatest Common Factor of 67097 and 67117?

Greatest common factor (GCF) of 67097 and 67117 is 1.

GCF(67097,67117) = 1

We will now calculate the prime factors of 67097 and 67117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67097 and 67117.

How to find the GCF of 67097 and 67117?

We will first find the prime factorization of 67097 and 67117. After we will calculate the factors of 67097 and 67117 and find the biggest common factor number .

Step-1: Prime Factorization of 67097

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

67097 = 229¹ × 293¹

Step-2: Prime Factorization of 67117

Prime factors of 67117 are 41, 1637. Prime factorization of 67117 in exponential form is:

67117 = 41¹ × 1637¹

Step-3: Factors of 67097

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

1, 229, 293

Step-4: Factors of 67117

List of positive integer factors of 67117 that divides 67097 without a remainder.

1, 41, 1637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67097 and 67117. The biggest common factor number is the GCF number.
So the greatest common factor 67097 and 67117 is 1.

Also check out the Least Common Multiple of 67097 and 67117