Greatest Common Factor of 1149 and 1152

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 1149, 1152 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1149 and 1152 is 3.

GCF(1149,1152) = 3

GCF of 1149 and 1152

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

GCF of:
and

Greatest Common Factor of 1149 and 1152

GCF of 1149 and 1152 is 3

Prime Factorization of 1149


3 1149
383 383
1

Prime factors of 1149 are 3,383. Prime factorization of 1149 in exponential form is:

1149 = 31×3831

Prime Factorization of 1152


2 1152
2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 1152 are 2,3. Prime factorization of 1152 in exponential form is:

1152 = 27×32

∴ So by taking common prime factors GCF of 1149 and 1152 is 3

Greatest Common Factor of 1149 and 1152 by matching factors method

Factors of 1149

List of positive integer factors of 1149 that divides 1149 without a remainder.

1,3,383,1149

Factors of 1152

List of positive integer factors of 1152 that divides 1152 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152

Greatest Common Factor

We found the factors and prime factorization of 1149 and 1152. The biggest common factor number is the GCF number.
So the greatest common factor 1149 and 1152 is 3.

Also check out the Least Common Multiple of 1149 and 1152

Properties of GCF 1149 and 1152

(i) The GCF of 1149 and 1152 is associative

GCF of 1149 and 1152 = GCF of 1152 and 1149

Related Greatest Common Factor of 1149

Related Greatest Common Factor of 1152

Frequently Asked Questions on GCF of 1149 and 1152

1. What is the GCF of 1149 and 1152?

Answer: GCF of 1149 and 1152 is 3.

2. What are the Factors of 1149?

Answer: Factors of 1149 are 1, 3, 383, 1149. There are 4 integers that are factors of 1149. The greatest factor of 1149 is 1149.

3. What are the Factors of 1152?

Answer: Factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152. There are 24 integers that are factors of 1152. The greatest factor of 1152 is 1152.

4. How to Find the GCF of 1149 and 1152?

Answer:

Greatest Common Factor of 1149 and 1152 = 3

Step 1: Find the prime factorization of 1149

1149 = 3 x 383

Step 2: Find the prime factorization of 1152

1152 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1149 and 1152 is 3