Greatest Common Factor of 9408 and 9416

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, 9416 i.e. 8 largest integer by which both the numbers can be divided.

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

GCF(9408,9416) = 8

GCF of 9408 and 9416

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

GCF of:
and

Greatest Common Factor of 9408 and 9416

GCF of 9408 and 9416 is 8

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 9416


2 9416
2 4708
2 2354
11 1177
107 107
1

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

9416 = 23×111×1071

∴ So by taking common prime factors GCF of 9408 and 9416 is 8

Greatest Common Factor of 9408 and 9416 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 9416

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

1,2,4,8,11,22,44,88,107,214,428,856,1177,2354,4708,9416

Greatest Common Factor

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

Properties of GCF 9408 and 9416

(i) The GCF of 9408 and 9416 is associative

GCF of 9408 and 9416 = GCF of 9416 and 9408

Related Greatest Common Factor of 9408

Related Greatest Common Factor of 9416

Frequently Asked Questions on GCF of 9408 and 9416

1. What is the GCF of 9408 and 9416?

Answer: GCF of 9408 and 9416 is 8.

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 9416?

Answer: Factors of 9416 are 1, 2, 4, 8, 11, 22, 44, 88, 107, 214, 428, 856, 1177, 2354, 4708, 9416. There are 16 integers that are factors of 9416. The greatest factor of 9416 is 9416.

4. How to Find the GCF of 9408 and 9416?

Answer:

Greatest Common Factor of 9408 and 9416 = 8

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 9416

9416 = 2 x 2 x 2 x 11 x 107

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9408 and 9416 is 8