Greatest Common Factor of 1140 and 1142

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, 1142 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1140 and 1142 is 2.

GCF(1140,1142) = 2

GCF of 1140 and 1142

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

GCF of:
and

Greatest Common Factor of 1140 and 1142

GCF of 1140 and 1142 is 2

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 1142


2 1142
571 571
1

Prime factors of 1142 are 2,571. Prime factorization of 1142 in exponential form is:

1142 = 21×5711

∴ So by taking common prime factors GCF of 1140 and 1142 is 2

Greatest Common Factor of 1140 and 1142 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 1142

List of positive integer factors of 1142 that divides 1142 without a remainder.

1,2,571,1142

Greatest Common Factor

We found the factors and prime factorization of 1140 and 1142. The biggest common factor number is the GCF number.
So the greatest common factor 1140 and 1142 is 2.

Also check out the Least Common Multiple of 1140 and 1142

Properties of GCF 1140 and 1142

(i) The GCF of 1140 and 1142 is associative

GCF of 1140 and 1142 = GCF of 1142 and 1140

Related Greatest Common Factor of 1140

Related Greatest Common Factor of 1142

Frequently Asked Questions on GCF of 1140 and 1142

1. What is the GCF of 1140 and 1142?

Answer: GCF of 1140 and 1142 is 2.

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 1142?

Answer: Factors of 1142 are 1, 2, 571, 1142. There are 4 integers that are factors of 1142. The greatest factor of 1142 is 1142.

4. How to Find the GCF of 1140 and 1142?

Answer:

Greatest Common Factor of 1140 and 1142 = 2

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 1142

1142 = 2 x 571

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 1140 and 1142 is 2