Greatest Common Factor of 1140 and 1144

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 1140, 1144 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1140 and 1144 is 4.

GCF(1140,1144) = 4

GCF of 1140 and 1144

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

GCF of:
and

Greatest Common Factor of 1140 and 1144

GCF of 1140 and 1144 is 4

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

Prime Factorization of 1144


2 1144
2 572
2 286
11 143
13 13
1

Prime factors of 1144 are 2,11,13. Prime factorization of 1144 in exponential form is:

1144 = 23×111×131

∴ So by taking common prime factors GCF of 1140 and 1144 is 4

Greatest Common Factor of 1140 and 1144 by matching factors method

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

Factors of 1144

List of positive integer factors of 1144 that divides 1144 without a remainder.

1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144

Greatest Common Factor

We found the factors and prime factorization of 1140 and 1144. The biggest common factor number is the GCF number.
So the greatest common factor 1140 and 1144 is 4.

Also check out the Least Common Multiple of 1140 and 1144

Properties of GCF 1140 and 1144

(i) The GCF of 1140 and 1144 is associative

GCF of 1140 and 1144 = GCF of 1144 and 1140

Related Greatest Common Factor of 1140

Related Greatest Common Factor of 1144

Frequently Asked Questions on GCF of 1140 and 1144

1. What is the GCF of 1140 and 1144?

Answer: GCF of 1140 and 1144 is 4.

2. 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.

3. What are the Factors of 1144?

Answer: Factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144. There are 16 integers that are factors of 1144. The greatest factor of 1144 is 1144.

4. How to Find the GCF of 1140 and 1144?

Answer:

Greatest Common Factor of 1140 and 1144 = 4

Step 1: Find the prime factorization of 1140

1140 = 2 x 2 x 3 x 5 x 19

Step 2: Find the prime factorization of 1144

1144 = 2 x 2 x 2 x 11 x 13

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1140 and 1144 is 4