Greatest Common Factor of 1140 and 1148

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, 1148 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1140 and 1148 is 4.

GCF(1140,1148) = 4

GCF of 1140 and 1148

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

GCF of:
and

Greatest Common Factor of 1140 and 1148

GCF of 1140 and 1148 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 1148


2 1148
2 574
7 287
41 41
1

Prime factors of 1148 are 2,7,41. Prime factorization of 1148 in exponential form is:

1148 = 22×71×411

∴ So by taking common prime factors GCF of 1140 and 1148 is 4

Greatest Common Factor of 1140 and 1148 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 1148

List of positive integer factors of 1148 that divides 1148 without a remainder.

1,2,4,7,14,28,41,82,164,287,574,1148

Greatest Common Factor

We found the factors and prime factorization of 1140 and 1148. The biggest common factor number is the GCF number.
So the greatest common factor 1140 and 1148 is 4.

Also check out the Least Common Multiple of 1140 and 1148

Properties of GCF 1140 and 1148

(i) The GCF of 1140 and 1148 is associative

GCF of 1140 and 1148 = GCF of 1148 and 1140

Related Greatest Common Factor of 1140

Related Greatest Common Factor of 1148

Frequently Asked Questions on GCF of 1140 and 1148

1. What is the GCF of 1140 and 1148?

Answer: GCF of 1140 and 1148 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 1148?

Answer: Factors of 1148 are 1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148. There are 12 integers that are factors of 1148. The greatest factor of 1148 is 1148.

4. How to Find the GCF of 1140 and 1148?

Answer:

Greatest Common Factor of 1140 and 1148 = 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 1148

1148 = 2 x 2 x 7 x 41

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 1148 is 4