Greatest Common Factor of 9168 and 9176

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 9168, 9176 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9168 and 9176 is 8.

GCF(9168,9176) = 8

GCF of 9168 and 9176

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

GCF of:
and

Greatest Common Factor of 9168 and 9176

GCF of 9168 and 9176 is 8

Prime Factorization of 9168


2 9168
2 4584
2 2292
2 1146
3 573
191 191
1

Prime factors of 9168 are 2,3,191. Prime factorization of 9168 in exponential form is:

9168 = 24×31×1911

Prime Factorization of 9176


2 9176
2 4588
2 2294
31 1147
37 37
1

Prime factors of 9176 are 2,31,37. Prime factorization of 9176 in exponential form is:

9176 = 23×311×371

∴ So by taking common prime factors GCF of 9168 and 9176 is 8

Greatest Common Factor of 9168 and 9176 by matching factors method

Factors of 9168

List of positive integer factors of 9168 that divides 9168 without a remainder.

1,2,3,4,6,8,12,16,24,48,191,382,573,764,1146,1528,2292,3056,4584,9168

Factors of 9176

List of positive integer factors of 9176 that divides 9176 without a remainder.

1,2,4,8,31,37,62,74,124,148,248,296,1147,2294,4588,9176

Greatest Common Factor

We found the factors and prime factorization of 9168 and 9176. The biggest common factor number is the GCF number.
So the greatest common factor 9168 and 9176 is 8.

Also check out the Least Common Multiple of 9168 and 9176

Properties of GCF 9168 and 9176

(i) The GCF of 9168 and 9176 is associative

GCF of 9168 and 9176 = GCF of 9176 and 9168

Related Greatest Common Factor of 9168

Related Greatest Common Factor of 9176

Frequently Asked Questions on GCF of 9168 and 9176

1. What is the GCF of 9168 and 9176?

Answer: GCF of 9168 and 9176 is 8.

2. What are the Factors of 9168?

Answer: Factors of 9168 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 191, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 9168. There are 20 integers that are factors of 9168. The greatest factor of 9168 is 9168.

3. What are the Factors of 9176?

Answer: Factors of 9176 are 1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176. There are 16 integers that are factors of 9176. The greatest factor of 9176 is 9176.

4. How to Find the GCF of 9168 and 9176?

Answer:

Greatest Common Factor of 9168 and 9176 = 8

Step 1: Find the prime factorization of 9168

9168 = 2 x 2 x 2 x 2 x 3 x 191

Step 2: Find the prime factorization of 9176

9176 = 2 x 2 x 2 x 31 x 37

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 9168 and 9176 is 8