What is the Greatest Common Factor of 9408 and 9416?

Greatest common factor (GCF) of 9408 and 9416 is 8.

GCF(9408,9416) = 8

We will now calculate the prime factors of 9408 and 9416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9408 and 9416.

How to find the GCF of 9408 and 9416?

We will first find the prime factorization of 9408 and 9416. After we will calculate the factors of 9408 and 9416 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 9416

Prime factors of 9416 are 2, 11, 107. Prime factorization of 9416 in exponential form is:

9416 = 2³ × 11¹ × 107¹

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 9416

List of positive integer factors of 9416 that divides 9408 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 107, 214, 428, 856, 1177, 2354, 4708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9408 and 9416. The biggest common factor number is the GCF number.
So the greatest common factor 9408 and 9416 is 8.

Also check out the Least Common Multiple of 9408 and 9416