Greatest Common Factor of 9408 and 9415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 9408, 9415 i.e. 7 largest integer by which both the numbers can be divided.

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

GCF(9408,9415) = 7

GCF of 9408 and 9415

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9408 and 9415

GCF of 9408 and 9415 is 7

Prime Factorization of 9408


2 9408
2 4704
2 2352
2 1176
2 588
2 294
3 147
7 49
7 7
1

Prime factors of 9408 are 2,3,7. Prime factorization of 9408 in exponential form is:

9408 = 26×31×72

Prime Factorization of 9415


5 9415
7 1883
269 269
1

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

9415 = 51×71×2691

∴ So by taking common prime factors GCF of 9408 and 9415 is 7

Greatest Common Factor of 9408 and 9415 by matching factors method

Factors of 9408

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

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,64,84,96,98,112,147,168,192,196,224,294,336,392,448,588,672,784,1176,1344,1568,2352,3136,4704,9408

Factors of 9415

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

1,5,7,35,269,1345,1883,9415

Greatest Common Factor

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

Properties of GCF 9408 and 9415

(i) The GCF of 9408 and 9415 is associative

GCF of 9408 and 9415 = GCF of 9415 and 9408

Related Greatest Common Factor of 9408

Related Greatest Common Factor of 9415

Frequently Asked Questions on GCF of 9408 and 9415

1. What is the GCF of 9408 and 9415?

Answer: GCF of 9408 and 9415 is 7.

2. What are the Factors of 9408?

Answer: Factors of 9408 are 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, 9408. There are 42 integers that are factors of 9408. The greatest factor of 9408 is 9408.

3. What are the Factors of 9415?

Answer: Factors of 9415 are 1, 5, 7, 35, 269, 1345, 1883, 9415. There are 8 integers that are factors of 9415. The greatest factor of 9415 is 9415.

4. How to Find the GCF of 9408 and 9415?

Answer:

Greatest Common Factor of 9408 and 9415 = 7

Step 1: Find the prime factorization of 9408

9408 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 9415

9415 = 5 x 7 x 269

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 9408 and 9415 is 7