Greatest Common Factor of 1148 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 1148, 1152 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1148 and 1152 is 4.

GCF(1148,1152) = 4

GCF of 1148 and 1152

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

GCF of:
and

Greatest Common Factor of 1148 and 1152

GCF of 1148 and 1152 is 4

Prime Factorization of 1148


2 1148
2 574
7 287
41 41
1

Prime factors of 1148 are 2,7,41. Prime factorization of 1148 in exponential form is:

1148 = 22×71×411

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 1148 and 1152 is 4

Greatest Common Factor of 1148 and 1152 by matching factors method

Factors of 1148

List of positive integer factors of 1148 that divides 1148 without a remainder.

1,2,4,7,14,28,41,82,164,287,574,1148

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 1148 and 1152. The biggest common factor number is the GCF number.
So the greatest common factor 1148 and 1152 is 4.

Also check out the Least Common Multiple of 1148 and 1152

Properties of GCF 1148 and 1152

(i) The GCF of 1148 and 1152 is associative

GCF of 1148 and 1152 = GCF of 1152 and 1148

Related Greatest Common Factor of 1148

Related Greatest Common Factor of 1152

Frequently Asked Questions on GCF of 1148 and 1152

1. What is the GCF of 1148 and 1152?

Answer: GCF of 1148 and 1152 is 4.

2. What are the Factors of 1148?

Answer: Factors of 1148 are 1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148. There are 12 integers that are factors of 1148. The greatest factor of 1148 is 1148.

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 1148 and 1152?

Answer:

Greatest Common Factor of 1148 and 1152 = 4

Step 1: Find the prime factorization of 1148

1148 = 2 x 2 x 7 x 41

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1148 and 1152 is 4