What is the Greatest Common Factor of 67361 and 67367?

Greatest common factor (GCF) of 67361 and 67367 is 1.

GCF(67361,67367) = 1

We will now calculate the prime factors of 67361 and 67367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67361 and 67367.

How to find the GCF of 67361 and 67367?

We will first find the prime factorization of 67361 and 67367. After we will calculate the factors of 67361 and 67367 and find the biggest common factor number .

Step-1: Prime Factorization of 67361

Prime factors of 67361 are 7, 9623. Prime factorization of 67361 in exponential form is:

67361 = 7¹ × 9623¹

Step-2: Prime Factorization of 67367

Prime factors of 67367 are 23, 29, 101. Prime factorization of 67367 in exponential form is:

67367 = 23¹ × 29¹ × 101¹

Step-3: Factors of 67361

List of positive integer factors of 67361 that divides 67361 without a remainder.

1, 7, 9623

Step-4: Factors of 67367

List of positive integer factors of 67367 that divides 67361 without a remainder.

1, 23, 29, 101, 667, 2323, 2929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67361 and 67367. The biggest common factor number is the GCF number.
So the greatest common factor 67361 and 67367 is 1.

Also check out the Least Common Multiple of 67361 and 67367