Greatest Common Factor of 1152 and 1159

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 1152, 1159 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1152 and 1159 is 1.

GCF(1152,1159) = 1

GCF of 1152 and 1159

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

GCF of:
and

Greatest Common Factor of 1152 and 1159

GCF of 1152 and 1159 is 1

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

Prime Factorization of 1159


19 1159
61 61
1

Prime factors of 1159 are 19,61. Prime factorization of 1159 in exponential form is:

1159 = 191×611

∴ So by taking common prime factors GCF of 1152 and 1159 is 1

Greatest Common Factor of 1152 and 1159 by matching factors method

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

Factors of 1159

List of positive integer factors of 1159 that divides 1159 without a remainder.

1,19,61,1159

Greatest Common Factor

We found the factors and prime factorization of 1152 and 1159. The biggest common factor number is the GCF number.
So the greatest common factor 1152 and 1159 is 1.

Also check out the Least Common Multiple of 1152 and 1159

Properties of GCF 1152 and 1159

(i) The GCF of 1152 and 1159 is associative

GCF of 1152 and 1159 = GCF of 1159 and 1152

Related Greatest Common Factor of 1152

Related Greatest Common Factor of 1159

Frequently Asked Questions on GCF of 1152 and 1159

1. What is the GCF of 1152 and 1159?

Answer: GCF of 1152 and 1159 is 1.

2. 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.

3. What are the Factors of 1159?

Answer: Factors of 1159 are 1, 19, 61, 1159. There are 4 integers that are factors of 1159. The greatest factor of 1159 is 1159.

4. How to Find the GCF of 1152 and 1159?

Answer:

Greatest Common Factor of 1152 and 1159 = 1

Step 1: 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 2: Find the prime factorization of 1159

1159 = 19 x 61

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1152 and 1159 is 1