What is the Greatest Common Factor of 9360 and 9374?

Greatest common factor (GCF) of 9360 and 9374 is 2.

GCF(9360,9374) = 2

We will now calculate the prime factors of 9360 and 9374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9360 and 9374.

How to find the GCF of 9360 and 9374?

We will first find the prime factorization of 9360 and 9374. After we will calculate the factors of 9360 and 9374 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 9374

Prime factors of 9374 are 2, 43, 109. Prime factorization of 9374 in exponential form is:

9374 = 2¹ × 43¹ × 109¹

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 9374

List of positive integer factors of 9374 that divides 9360 without a remainder.

1, 2, 43, 86, 109, 218, 4687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9360 and 9374. The biggest common factor number is the GCF number.
So the greatest common factor 9360 and 9374 is 2.

Also check out the Least Common Multiple of 9360 and 9374