Greatest Common Factor of 7164 and 7168

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 7164, 7168 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7164 and 7168 is 4.

GCF(7164,7168) = 4

GCF of 7164 and 7168

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

GCF of:
and

Greatest Common Factor of 7164 and 7168

GCF of 7164 and 7168 is 4

Prime Factorization of 7164


2 7164
2 3582
3 1791
3 597
199 199
1

Prime factors of 7164 are 2,3,199. Prime factorization of 7164 in exponential form is:

7164 = 22×32×1991

Prime Factorization of 7168


2 7168
2 3584
2 1792
2 896
2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 7168 are 2,7. Prime factorization of 7168 in exponential form is:

7168 = 210×71

∴ So by taking common prime factors GCF of 7164 and 7168 is 4

Greatest Common Factor of 7164 and 7168 by matching factors method

Factors of 7164

List of positive integer factors of 7164 that divides 7164 without a remainder.

1,2,3,4,6,9,12,18,36,199,398,597,796,1194,1791,2388,3582,7164

Factors of 7168

List of positive integer factors of 7168 that divides 7168 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1024,1792,3584,7168

Greatest Common Factor

We found the factors and prime factorization of 7164 and 7168. The biggest common factor number is the GCF number.
So the greatest common factor 7164 and 7168 is 4.

Also check out the Least Common Multiple of 7164 and 7168

Properties of GCF 7164 and 7168

(i) The GCF of 7164 and 7168 is associative

GCF of 7164 and 7168 = GCF of 7168 and 7164

Related Greatest Common Factor of 7164

Related Greatest Common Factor of 7168

Frequently Asked Questions on GCF of 7164 and 7168

1. What is the GCF of 7164 and 7168?

Answer: GCF of 7164 and 7168 is 4.

2. What are the Factors of 7164?

Answer: Factors of 7164 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 7164. There are 18 integers that are factors of 7164. The greatest factor of 7164 is 7164.

3. What are the Factors of 7168?

Answer: Factors of 7168 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168. There are 22 integers that are factors of 7168. The greatest factor of 7168 is 7168.

4. How to Find the GCF of 7164 and 7168?

Answer:

Greatest Common Factor of 7164 and 7168 = 4

Step 1: Find the prime factorization of 7164

7164 = 2 x 2 x 3 x 3 x 199

Step 2: Find the prime factorization of 7168

7168 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7164 and 7168 is 4