Greatest Common Factor of 1129 and 1136

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 1129, 1136 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1129 and 1136 is 1.

GCF(1129,1136) = 1

GCF of 1129 and 1136

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

GCF of:
and

Greatest Common Factor of 1129 and 1136

GCF of 1129 and 1136 is 1

Prime Factorization of 1129


1129 1129
1

Prime factors of 1129 are 1129. Prime factorization of 1129 in exponential form is:

1129 = 11291

Prime Factorization of 1136


2 1136
2 568
2 284
2 142
71 71
1

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

1136 = 24×711

∴ So by taking common prime factors GCF of 1129 and 1136 is 1

Greatest Common Factor of 1129 and 1136 by matching factors method

Factors of 1129

List of positive integer factors of 1129 that divides 1129 without a remainder.

1,1129

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

Greatest Common Factor

We found the factors and prime factorization of 1129 and 1136. The biggest common factor number is the GCF number.
So the greatest common factor 1129 and 1136 is 1.

Also check out the Least Common Multiple of 1129 and 1136

Properties of GCF 1129 and 1136

(i) The GCF of 1129 and 1136 is associative

GCF of 1129 and 1136 = GCF of 1136 and 1129

Frequently Asked Questions on GCF of 1129 and 1136

1. What is the GCF of 1129 and 1136?

Answer: GCF of 1129 and 1136 is 1.

2. What are the Factors of 1129?

Answer: Factors of 1129 are 1, 1129. There are 2 integers that are factors of 1129. The greatest factor of 1129 is 1129.

3. 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.

4. How to Find the GCF of 1129 and 1136?

Answer:

Greatest Common Factor of 1129 and 1136 = 1

Step 1: Find the prime factorization of 1129

1129 = 1129

Step 2: Find the prime factorization of 1136

1136 = 2 x 2 x 2 x 2 x 71

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 1129 and 1136 is 1