What is the Greatest Common Factor of 67361 and 67371?

Greatest common factor (GCF) of 67361 and 67371 is 1.

GCF(67361,67371) = 1

We will now calculate the prime factors of 67361 and 67371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67361 and 67371.

How to find the GCF of 67361 and 67371?

We will first find the prime factorization of 67361 and 67371. After we will calculate the factors of 67361 and 67371 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 67371

Prime factors of 67371 are 3, 17, 1321. Prime factorization of 67371 in exponential form is:

67371 = 3¹ × 17¹ × 1321¹

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 67371

List of positive integer factors of 67371 that divides 67361 without a remainder.

1, 3, 17, 51, 1321, 3963, 22457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67361 and 67371. The biggest common factor number is the GCF number.
So the greatest common factor 67361 and 67371 is 1.

Also check out the Least Common Multiple of 67361 and 67371