What is the Greatest Common Factor of 9408 and 9415?

Greatest common factor (GCF) of 9408 and 9415 is 7.

GCF(9408,9415) = 7

We will now calculate the prime factors of 9408 and 9415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9408 and 9415.

How to find the GCF of 9408 and 9415?

We will first find the prime factorization of 9408 and 9415. After we will calculate the factors of 9408 and 9415 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 9415

Prime factors of 9415 are 5, 7, 269. Prime factorization of 9415 in exponential form is:

9415 = 5¹ × 7¹ × 269¹

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 9415

List of positive integer factors of 9415 that divides 9408 without a remainder.

1, 5, 7, 35, 269, 1345, 1883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9408 and 9415. The biggest common factor number is the GCF number.
So the greatest common factor 9408 and 9415 is 7.

Also check out the Least Common Multiple of 9408 and 9415