Greatest Common Factor of 7134 and 7140

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 7134, 7140 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7134 and 7140 is 6.

GCF(7134,7140) = 6

GCF of 7134 and 7140

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

GCF of:
and

Greatest Common Factor of 7134 and 7140

GCF of 7134 and 7140 is 6

Prime Factorization of 7134


2 7134
3 3567
29 1189
41 41
1

Prime factors of 7134 are 2,3,29,41. Prime factorization of 7134 in exponential form is:

7134 = 21×31×291×411

Prime Factorization of 7140


2 7140
2 3570
3 1785
5 595
7 119
17 17
1

Prime factors of 7140 are 2,3,5,7,17. Prime factorization of 7140 in exponential form is:

7140 = 22×31×51×71×171

∴ So by taking common prime factors GCF of 7134 and 7140 is 6

Greatest Common Factor of 7134 and 7140 by matching factors method

Factors of 7134

List of positive integer factors of 7134 that divides 7134 without a remainder.

1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134

Factors of 7140

List of positive integer factors of 7140 that divides 7140 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,17,20,21,28,30,34,35,42,51,60,68,70,84,85,102,105,119,140,170,204,210,238,255,340,357,420,476,510,595,714,1020,1190,1428,1785,2380,3570,7140

Greatest Common Factor

We found the factors and prime factorization of 7134 and 7140. The biggest common factor number is the GCF number.
So the greatest common factor 7134 and 7140 is 6.

Also check out the Least Common Multiple of 7134 and 7140

Properties of GCF 7134 and 7140

(i) The GCF of 7134 and 7140 is associative

GCF of 7134 and 7140 = GCF of 7140 and 7134

Related Greatest Common Factor of 7134

Related Greatest Common Factor of 7140

Frequently Asked Questions on GCF of 7134 and 7140

1. What is the GCF of 7134 and 7140?

Answer: GCF of 7134 and 7140 is 6.

2. What are the Factors of 7134?

Answer: Factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134. There are 16 integers that are factors of 7134. The greatest factor of 7134 is 7134.

3. What are the Factors of 7140?

Answer: Factors of 7140 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 51, 60, 68, 70, 84, 85, 102, 105, 119, 140, 170, 204, 210, 238, 255, 340, 357, 420, 476, 510, 595, 714, 1020, 1190, 1428, 1785, 2380, 3570, 7140. There are 48 integers that are factors of 7140. The greatest factor of 7140 is 7140.

4. How to Find the GCF of 7134 and 7140?

Answer:

Greatest Common Factor of 7134 and 7140 = 6

Step 1: Find the prime factorization of 7134

7134 = 2 x 3 x 29 x 41

Step 2: Find the prime factorization of 7140

7140 = 2 x 2 x 3 x 5 x 7 x 17

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 7134 and 7140 is 6