What is the Greatest Common Factor of 9408 and 9424?

Greatest common factor (GCF) of 9408 and 9424 is 16.

GCF(9408,9424) = 16

We will now calculate the prime factors of 9408 and 9424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9408 and 9424.

How to find the GCF of 9408 and 9424?

We will first find the prime factorization of 9408 and 9424. After we will calculate the factors of 9408 and 9424 and find the biggest common factor number .

Step-1: Prime Factorization of 9408

Prime factors of 9408 are 2, 3, 7. Prime factorization of 9408 in exponential form is:

9408 = 2⁶ × 3¹ × 7²

Step-2: Prime Factorization of 9424

Prime factors of 9424 are 2, 19, 31. Prime factorization of 9424 in exponential form is:

9424 = 2⁴ × 19¹ × 31¹

Step-3: Factors of 9408

List of positive integer factors of 9408 that divides 9408 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 392, 448, 588, 672, 784, 1176, 1344, 1568, 2352, 3136, 4704

Step-4: Factors of 9424

List of positive integer factors of 9424 that divides 9408 without a remainder.

1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9408 and 9424. The biggest common factor number is the GCF number.
So the greatest common factor 9408 and 9424 is 16.

Also check out the Least Common Multiple of 9408 and 9424