Greatest Common Factor of 9401 and 9408

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 9401, 9408 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9401 and 9408 is 7.

GCF(9401,9408) = 7

GCF of 9401 and 9408

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

GCF of:
and

Greatest Common Factor of 9401 and 9408

GCF of 9401 and 9408 is 7

Prime Factorization of 9401


7 9401
17 1343
79 79
1

Prime factors of 9401 are 7,17,79. Prime factorization of 9401 in exponential form is:

9401 = 71×171×791

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

∴ So by taking common prime factors GCF of 9401 and 9408 is 7

Greatest Common Factor of 9401 and 9408 by matching factors method

Factors of 9401

List of positive integer factors of 9401 that divides 9401 without a remainder.

1,7,17,79,119,553,1343,9401

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

Greatest Common Factor

We found the factors and prime factorization of 9401 and 9408. The biggest common factor number is the GCF number.
So the greatest common factor 9401 and 9408 is 7.

Also check out the Least Common Multiple of 9401 and 9408

Properties of GCF 9401 and 9408

(i) The GCF of 9401 and 9408 is associative

GCF of 9401 and 9408 = GCF of 9408 and 9401

Related Greatest Common Factor of 9401

Related Greatest Common Factor of 9408

Frequently Asked Questions on GCF of 9401 and 9408

1. What is the GCF of 9401 and 9408?

Answer: GCF of 9401 and 9408 is 7.

2. What are the Factors of 9401?

Answer: Factors of 9401 are 1, 7, 17, 79, 119, 553, 1343, 9401. There are 8 integers that are factors of 9401. The greatest factor of 9401 is 9401.

3. 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.

4. How to Find the GCF of 9401 and 9408?

Answer:

Greatest Common Factor of 9401 and 9408 = 7

Step 1: Find the prime factorization of 9401

9401 = 7 x 17 x 79

Step 2: 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 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 9401 and 9408 is 7