What is the Greatest Common Factor of 9408 and 9417?

Greatest common factor (GCF) of 9408 and 9417 is 3.

GCF(9408,9417) = 3

We will now calculate the prime factors of 9408 and 9417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9408 and 9417.

How to find the GCF of 9408 and 9417?

We will first find the prime factorization of 9408 and 9417. After we will calculate the factors of 9408 and 9417 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 9417

Prime factors of 9417 are 3, 43, 73. Prime factorization of 9417 in exponential form is:

9417 = 3¹ × 43¹ × 73¹

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 9417

List of positive integer factors of 9417 that divides 9408 without a remainder.

1, 3, 43, 73, 129, 219, 3139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9408 and 9417. The biggest common factor number is the GCF number.
So the greatest common factor 9408 and 9417 is 3.

Also check out the Least Common Multiple of 9408 and 9417