What is the Greatest Common Factor of 9360 and 9377?

Greatest common factor (GCF) of 9360 and 9377 is 1.

GCF(9360,9377) = 1

We will now calculate the prime factors of 9360 and 9377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9360 and 9377.

How to find the GCF of 9360 and 9377?

We will first find the prime factorization of 9360 and 9377. After we will calculate the factors of 9360 and 9377 and find the biggest common factor number .

Step-1: Prime Factorization of 9360

Prime factors of 9360 are 2, 3, 5, 13. Prime factorization of 9360 in exponential form is:

9360 = 2⁴ × 3² × 5¹ × 13¹

Step-2: Prime Factorization of 9377

Prime factors of 9377 are 9377. Prime factorization of 9377 in exponential form is:

9377 = 9377¹

Step-3: Factors of 9360

List of positive integer factors of 9360 that divides 9360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 104, 117, 120, 130, 144, 156, 180, 195, 208, 234, 240, 260, 312, 360, 390, 468, 520, 585, 624, 720, 780, 936, 1040, 1170, 1560, 1872, 2340, 3120, 4680

Step-4: Factors of 9377

List of positive integer factors of 9377 that divides 9360 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9360 and 9377. The biggest common factor number is the GCF number.
So the greatest common factor 9360 and 9377 is 1.

Also check out the Least Common Multiple of 9360 and 9377