What is the Greatest Common Factor of 67097 and 67114?

Greatest common factor (GCF) of 67097 and 67114 is 1.

GCF(67097,67114) = 1

We will now calculate the prime factors of 67097 and 67114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67097 and 67114.

How to find the GCF of 67097 and 67114?

We will first find the prime factorization of 67097 and 67114. After we will calculate the factors of 67097 and 67114 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 67114

Prime factors of 67114 are 2, 23, 1459. Prime factorization of 67114 in exponential form is:

67114 = 2¹ × 23¹ × 1459¹

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 67114

List of positive integer factors of 67114 that divides 67097 without a remainder.

1, 2, 23, 46, 1459, 2918, 33557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67097 and 67114. The biggest common factor number is the GCF number.
So the greatest common factor 67097 and 67114 is 1.

Also check out the Least Common Multiple of 67097 and 67114