What is the Greatest Common Factor of 9400 and 9408?

Greatest common factor (GCF) of 9400 and 9408 is 8.

GCF(9400,9408) = 8

We will now calculate the prime factors of 9400 and 9408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9400 and 9408.

How to find the GCF of 9400 and 9408?

We will first find the prime factorization of 9400 and 9408. After we will calculate the factors of 9400 and 9408 and find the biggest common factor number .

Step-1: Prime Factorization of 9400

Prime factors of 9400 are 2, 5, 47. Prime factorization of 9400 in exponential form is:

9400 = 2³ × 5² × 47¹

Step-2: 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-3: Factors of 9400

List of positive integer factors of 9400 that divides 9400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700

Step-4: Factors of 9408

List of positive integer factors of 9408 that divides 9400 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9400 and 9408. The biggest common factor number is the GCF number.
So the greatest common factor 9400 and 9408 is 8.

Also check out the Least Common Multiple of 9400 and 9408