Greatest Common Factor of 7140 and 7146

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 7140, 7146 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7140 and 7146 is 6.

GCF(7140,7146) = 6

GCF of 7140 and 7146

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

GCF of:
and

Greatest Common Factor of 7140 and 7146

GCF of 7140 and 7146 is 6

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

Prime Factorization of 7146


2 7146
3 3573
3 1191
397 397
1

Prime factors of 7146 are 2,3,397. Prime factorization of 7146 in exponential form is:

7146 = 21×32×3971

∴ So by taking common prime factors GCF of 7140 and 7146 is 6

Greatest Common Factor of 7140 and 7146 by matching factors method

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

Factors of 7146

List of positive integer factors of 7146 that divides 7146 without a remainder.

1,2,3,6,9,18,397,794,1191,2382,3573,7146

Greatest Common Factor

We found the factors and prime factorization of 7140 and 7146. The biggest common factor number is the GCF number.
So the greatest common factor 7140 and 7146 is 6.

Also check out the Least Common Multiple of 7140 and 7146

Properties of GCF 7140 and 7146

(i) The GCF of 7140 and 7146 is associative

GCF of 7140 and 7146 = GCF of 7146 and 7140

Related Greatest Common Factor of 7140

Related Greatest Common Factor of 7146

Frequently Asked Questions on GCF of 7140 and 7146

1. What is the GCF of 7140 and 7146?

Answer: GCF of 7140 and 7146 is 6.

2. 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.

3. What are the Factors of 7146?

Answer: Factors of 7146 are 1, 2, 3, 6, 9, 18, 397, 794, 1191, 2382, 3573, 7146. There are 12 integers that are factors of 7146. The greatest factor of 7146 is 7146.

4. How to Find the GCF of 7140 and 7146?

Answer:

Greatest Common Factor of 7140 and 7146 = 6

Step 1: Find the prime factorization of 7140

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

Step 2: Find the prime factorization of 7146

7146 = 2 x 3 x 3 x 397

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 7140 and 7146 is 6