What is the Greatest Common Factor of 9408 and 9419?

Greatest common factor (GCF) of 9408 and 9419 is 1.

GCF(9408,9419) = 1

We will now calculate the prime factors of 9408 and 9419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9408 and 9419.

How to find the GCF of 9408 and 9419?

We will first find the prime factorization of 9408 and 9419. After we will calculate the factors of 9408 and 9419 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 9419

Prime factors of 9419 are 9419. Prime factorization of 9419 in exponential form is:

9419 = 9419¹

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 9419

List of positive integer factors of 9419 that divides 9408 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9408 and 9419. The biggest common factor number is the GCF number.
So the greatest common factor 9408 and 9419 is 1.

Also check out the Least Common Multiple of 9408 and 9419