Greatest Common Factor of 1136 and 1143

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 1136, 1143 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1136 and 1143 is 1.

GCF(1136,1143) = 1

GCF of 1136 and 1143

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

GCF of:
and

Greatest Common Factor of 1136 and 1143

GCF of 1136 and 1143 is 1

Prime Factorization of 1136


2 1136
2 568
2 284
2 142
71 71
1

Prime factors of 1136 are 2,71. Prime factorization of 1136 in exponential form is:

1136 = 24×711

Prime Factorization of 1143


3 1143
3 381
127 127
1

Prime factors of 1143 are 3,127. Prime factorization of 1143 in exponential form is:

1143 = 32×1271

∴ So by taking common prime factors GCF of 1136 and 1143 is 1

Greatest Common Factor of 1136 and 1143 by matching factors method

Factors of 1136

List of positive integer factors of 1136 that divides 1136 without a remainder.

1,2,4,8,16,71,142,284,568,1136

Factors of 1143

List of positive integer factors of 1143 that divides 1143 without a remainder.

1,3,9,127,381,1143

Greatest Common Factor

We found the factors and prime factorization of 1136 and 1143. The biggest common factor number is the GCF number.
So the greatest common factor 1136 and 1143 is 1.

Also check out the Least Common Multiple of 1136 and 1143

Properties of GCF 1136 and 1143

(i) The GCF of 1136 and 1143 is associative

GCF of 1136 and 1143 = GCF of 1143 and 1136

Related Greatest Common Factor of 1136

Related Greatest Common Factor of 1143

Frequently Asked Questions on GCF of 1136 and 1143

1. What is the GCF of 1136 and 1143?

Answer: GCF of 1136 and 1143 is 1.

2. What are the Factors of 1136?

Answer: Factors of 1136 are 1, 2, 4, 8, 16, 71, 142, 284, 568, 1136. There are 10 integers that are factors of 1136. The greatest factor of 1136 is 1136.

3. What are the Factors of 1143?

Answer: Factors of 1143 are 1, 3, 9, 127, 381, 1143. There are 6 integers that are factors of 1143. The greatest factor of 1143 is 1143.

4. How to Find the GCF of 1136 and 1143?

Answer:

Greatest Common Factor of 1136 and 1143 = 1

Step 1: Find the prime factorization of 1136

1136 = 2 x 2 x 2 x 2 x 71

Step 2: Find the prime factorization of 1143

1143 = 3 x 3 x 127

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 1136 and 1143 is 1