Greatest Common Factor of 9174 and 9178

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 9174, 9178 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9174 and 9178 is 2.

GCF(9174,9178) = 2

GCF of 9174 and 9178

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

GCF of:
and

Greatest Common Factor of 9174 and 9178

GCF of 9174 and 9178 is 2

Prime Factorization of 9174


2 9174
3 4587
11 1529
139 139
1

Prime factors of 9174 are 2,3,11,139. Prime factorization of 9174 in exponential form is:

9174 = 21×31×111×1391

Prime Factorization of 9178


2 9178
13 4589
353 353
1

Prime factors of 9178 are 2,13,353. Prime factorization of 9178 in exponential form is:

9178 = 21×131×3531

∴ So by taking common prime factors GCF of 9174 and 9178 is 2

Greatest Common Factor of 9174 and 9178 by matching factors method

Factors of 9174

List of positive integer factors of 9174 that divides 9174 without a remainder.

1,2,3,6,11,22,33,66,139,278,417,834,1529,3058,4587,9174

Factors of 9178

List of positive integer factors of 9178 that divides 9178 without a remainder.

1,2,13,26,353,706,4589,9178

Greatest Common Factor

We found the factors and prime factorization of 9174 and 9178. The biggest common factor number is the GCF number.
So the greatest common factor 9174 and 9178 is 2.

Also check out the Least Common Multiple of 9174 and 9178

Properties of GCF 9174 and 9178

(i) The GCF of 9174 and 9178 is associative

GCF of 9174 and 9178 = GCF of 9178 and 9174

Related Greatest Common Factor of 9174

Related Greatest Common Factor of 9178

Frequently Asked Questions on GCF of 9174 and 9178

1. What is the GCF of 9174 and 9178?

Answer: GCF of 9174 and 9178 is 2.

2. What are the Factors of 9174?

Answer: Factors of 9174 are 1, 2, 3, 6, 11, 22, 33, 66, 139, 278, 417, 834, 1529, 3058, 4587, 9174. There are 16 integers that are factors of 9174. The greatest factor of 9174 is 9174.

3. What are the Factors of 9178?

Answer: Factors of 9178 are 1, 2, 13, 26, 353, 706, 4589, 9178. There are 8 integers that are factors of 9178. The greatest factor of 9178 is 9178.

4. How to Find the GCF of 9174 and 9178?

Answer:

Greatest Common Factor of 9174 and 9178 = 2

Step 1: Find the prime factorization of 9174

9174 = 2 x 3 x 11 x 139

Step 2: Find the prime factorization of 9178

9178 = 2 x 13 x 353

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9174 and 9178 is 2