Greatest Common Factor of 7140 and 7147

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, 7147 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7140 and 7147 is 7.

GCF(7140,7147) = 7

GCF of 7140 and 7147

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

GCF of:
and

Greatest Common Factor of 7140 and 7147

GCF of 7140 and 7147 is 7

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 7147


7 7147
1021 1021
1

Prime factors of 7147 are 7,1021. Prime factorization of 7147 in exponential form is:

7147 = 71×10211

∴ So by taking common prime factors GCF of 7140 and 7147 is 7

Greatest Common Factor of 7140 and 7147 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 7147

List of positive integer factors of 7147 that divides 7147 without a remainder.

1,7,1021,7147

Greatest Common Factor

We found the factors and prime factorization of 7140 and 7147. The biggest common factor number is the GCF number.
So the greatest common factor 7140 and 7147 is 7.

Also check out the Least Common Multiple of 7140 and 7147

Properties of GCF 7140 and 7147

(i) The GCF of 7140 and 7147 is associative

GCF of 7140 and 7147 = GCF of 7147 and 7140

Related Greatest Common Factor of 7140

Related Greatest Common Factor of 7147

Frequently Asked Questions on GCF of 7140 and 7147

1. What is the GCF of 7140 and 7147?

Answer: GCF of 7140 and 7147 is 7.

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 7147?

Answer: Factors of 7147 are 1, 7, 1021, 7147. There are 4 integers that are factors of 7147. The greatest factor of 7147 is 7147.

4. How to Find the GCF of 7140 and 7147?

Answer:

Greatest Common Factor of 7140 and 7147 = 7

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 7147

7147 = 7 x 1021

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7140 and 7147 is 7