Greatest Common Factor of 1134 and 1140

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 1134, 1140 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1134 and 1140 is 6.

GCF(1134,1140) = 6

GCF of 1134 and 1140

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

GCF of:
and

Greatest Common Factor of 1134 and 1140

GCF of 1134 and 1140 is 6

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

Prime Factorization of 1140


2 1140
2 570
3 285
5 95
19 19
1

Prime factors of 1140 are 2,3,5,19. Prime factorization of 1140 in exponential form is:

1140 = 22×31×51×191

∴ So by taking common prime factors GCF of 1134 and 1140 is 6

Greatest Common Factor of 1134 and 1140 by matching factors method

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

Factors of 1140

List of positive integer factors of 1140 that divides 1140 without a remainder.

1,2,3,4,5,6,10,12,15,19,20,30,38,57,60,76,95,114,190,228,285,380,570,1140

Greatest Common Factor

We found the factors and prime factorization of 1134 and 1140. The biggest common factor number is the GCF number.
So the greatest common factor 1134 and 1140 is 6.

Also check out the Least Common Multiple of 1134 and 1140

Properties of GCF 1134 and 1140

(i) The GCF of 1134 and 1140 is associative

GCF of 1134 and 1140 = GCF of 1140 and 1134

Related Greatest Common Factor of 1134

Related Greatest Common Factor of 1140

Frequently Asked Questions on GCF of 1134 and 1140

1. What is the GCF of 1134 and 1140?

Answer: GCF of 1134 and 1140 is 6.

2. 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.

3. What are the Factors of 1140?

Answer: Factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140. There are 24 integers that are factors of 1140. The greatest factor of 1140 is 1140.

4. How to Find the GCF of 1134 and 1140?

Answer:

Greatest Common Factor of 1134 and 1140 = 6

Step 1: Find the prime factorization of 1134

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

Step 2: Find the prime factorization of 1140

1140 = 2 x 2 x 3 x 5 x 19

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1134 and 1140 is 6