What is the Greatest Common Factor of 7360 and 7367?

Greatest common factor (GCF) of 7360 and 7367 is 1.

GCF(7360,7367) = 1

We will now calculate the prime factors of 7360 and 7367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7360 and 7367.

How to find the GCF of 7360 and 7367?

We will first find the prime factorization of 7360 and 7367. After we will calculate the factors of 7360 and 7367 and find the biggest common factor number .

Step-1: Prime Factorization of 7360

Prime factors of 7360 are 2, 5, 23. Prime factorization of 7360 in exponential form is:

7360 = 2⁶ × 5¹ × 23¹

Step-2: Prime Factorization of 7367

Prime factors of 7367 are 53, 139. Prime factorization of 7367 in exponential form is:

7367 = 53¹ × 139¹

Step-3: Factors of 7360

List of positive integer factors of 7360 that divides 7360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680

Step-4: Factors of 7367

List of positive integer factors of 7367 that divides 7360 without a remainder.

1, 53, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7360 and 7367. The biggest common factor number is the GCF number.
So the greatest common factor 7360 and 7367 is 1.

Also check out the Least Common Multiple of 7360 and 7367