Greatest Common Factor of 1130 and 1134

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 1130, 1134 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1130 and 1134 is 2.

GCF(1130,1134) = 2

GCF of 1130 and 1134

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

GCF of:
and

Greatest Common Factor of 1130 and 1134

GCF of 1130 and 1134 is 2

Prime Factorization of 1130


2 1130
5 565
113 113
1

Prime factors of 1130 are 2,5,113. Prime factorization of 1130 in exponential form is:

1130 = 21×51×1131

Prime Factorization of 1134


2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 1134 are 2,3,7. Prime factorization of 1134 in exponential form is:

1134 = 21×34×71

∴ So by taking common prime factors GCF of 1130 and 1134 is 2

Greatest Common Factor of 1130 and 1134 by matching factors method

Factors of 1130

List of positive integer factors of 1130 that divides 1130 without a remainder.

1,2,5,10,113,226,565,1130

Factors of 1134

List of positive integer factors of 1134 that divides 1134 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,378,567,1134

Greatest Common Factor

We found the factors and prime factorization of 1130 and 1134. The biggest common factor number is the GCF number.
So the greatest common factor 1130 and 1134 is 2.

Also check out the Least Common Multiple of 1130 and 1134

Properties of GCF 1130 and 1134

(i) The GCF of 1130 and 1134 is associative

GCF of 1130 and 1134 = GCF of 1134 and 1130

Related Greatest Common Factor of 1130

Related Greatest Common Factor of 1134

Frequently Asked Questions on GCF of 1130 and 1134

1. What is the GCF of 1130 and 1134?

Answer: GCF of 1130 and 1134 is 2.

2. What are the Factors of 1130?

Answer: Factors of 1130 are 1, 2, 5, 10, 113, 226, 565, 1130. There are 8 integers that are factors of 1130. The greatest factor of 1130 is 1130.

3. What are the Factors of 1134?

Answer: Factors of 1134 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134. There are 20 integers that are factors of 1134. The greatest factor of 1134 is 1134.

4. How to Find the GCF of 1130 and 1134?

Answer:

Greatest Common Factor of 1130 and 1134 = 2

Step 1: Find the prime factorization of 1130

1130 = 2 x 5 x 113

Step 2: Find the prime factorization of 1134

1134 = 2 x 3 x 3 x 3 x 3 x 7

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1130 and 1134 is 2