Greatest Common Factor of 9144 and 9152

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 9144, 9152 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9144 and 9152 is 8.

GCF(9144,9152) = 8

GCF of 9144 and 9152

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

GCF of:
and

Greatest Common Factor of 9144 and 9152

GCF of 9144 and 9152 is 8

Prime Factorization of 9144


2 9144
2 4572
2 2286
3 1143
3 381
127 127
1

Prime factors of 9144 are 2,3,127. Prime factorization of 9144 in exponential form is:

9144 = 23×32×1271

Prime Factorization of 9152


2 9152
2 4576
2 2288
2 1144
2 572
2 286
11 143
13 13
1

Prime factors of 9152 are 2,11,13. Prime factorization of 9152 in exponential form is:

9152 = 26×111×131

∴ So by taking common prime factors GCF of 9144 and 9152 is 8

Greatest Common Factor of 9144 and 9152 by matching factors method

Factors of 9144

List of positive integer factors of 9144 that divides 9144 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,127,254,381,508,762,1016,1143,1524,2286,3048,4572,9144

Factors of 9152

List of positive integer factors of 9152 that divides 9152 without a remainder.

1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152

Greatest Common Factor

We found the factors and prime factorization of 9144 and 9152. The biggest common factor number is the GCF number.
So the greatest common factor 9144 and 9152 is 8.

Also check out the Least Common Multiple of 9144 and 9152

Properties of GCF 9144 and 9152

(i) The GCF of 9144 and 9152 is associative

GCF of 9144 and 9152 = GCF of 9152 and 9144

Related Greatest Common Factor of 9144

Related Greatest Common Factor of 9152

Frequently Asked Questions on GCF of 9144 and 9152

1. What is the GCF of 9144 and 9152?

Answer: GCF of 9144 and 9152 is 8.

2. What are the Factors of 9144?

Answer: Factors of 9144 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144. There are 24 integers that are factors of 9144. The greatest factor of 9144 is 9144.

3. What are the Factors of 9152?

Answer: Factors of 9152 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152. There are 28 integers that are factors of 9152. The greatest factor of 9152 is 9152.

4. How to Find the GCF of 9144 and 9152?

Answer:

Greatest Common Factor of 9144 and 9152 = 8

Step 1: Find the prime factorization of 9144

9144 = 2 x 2 x 2 x 3 x 3 x 127

Step 2: Find the prime factorization of 9152

9152 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 13

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 9144 and 9152 is 8