Greatest Common Factor of 1129 and 1132

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, 1132 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1129 and 1132 is 1.

GCF(1129,1132) = 1

GCF of 1129 and 1132

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

GCF of:
and

Greatest Common Factor of 1129 and 1132

GCF of 1129 and 1132 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 1132


2 1132
2 566
283 283
1

Prime factors of 1132 are 2.Prime factorization of 1132 in exponential form is:

1132 = 22×2831

∴ So by taking common prime factors GCF of 1129 and 1132 is 1

Greatest Common Factor of 1129 and 1132 by matching factors method

Factors of 1129

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

1,1129

Factors of 1132

List of positive integer factors of 1132 that divides 1132 without a remainder.

1,2,4,283,566,1132

Greatest Common Factor

We found the factors and prime factorization of 1129 and 1132. The biggest common factor number is the GCF number.
So the greatest common factor 1129 and 1132 is 1.

Also check out the Least Common Multiple of 1129 and 1132

Properties of GCF 1129 and 1132

(i) The GCF of 1129 and 1132 is associative

GCF of 1129 and 1132 = GCF of 1132 and 1129

Related Greatest Common Factor of 1129

Related Greatest Common Factor of 1132

Frequently Asked Questions on GCF of 1129 and 1132

1. What is the GCF of 1129 and 1132?

Answer: GCF of 1129 and 1132 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 1132?

Answer: Factors of 1132 are 1, 2, 4, 283, 566, 1132. There are 6 integers that are factors of 1132. The greatest factor of 1132 is 1132.

4. How to Find the GCF of 1129 and 1132?

Answer:

Greatest Common Factor of 1129 and 1132 = 1

Step 1: Find the prime factorization of 1129

1129 = 1129

Step 2: Find the prime factorization of 1132

1132 = 2 x 2 x 283

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 1132 is 1