Greatest Common Factor of 7137 and 7143

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 7137, 7143 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7137 and 7143 is 3.

GCF(7137,7143) = 3

GCF of 7137 and 7143

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

GCF of:
and

Greatest Common Factor of 7137 and 7143

GCF of 7137 and 7143 is 3

Prime Factorization of 7137


3 7137
3 2379
13 793
61 61
1

Prime factors of 7137 are 3,13,61. Prime factorization of 7137 in exponential form is:

7137 = 32×131×611

Prime Factorization of 7143


3 7143
2381 2381
1

Prime factors of 7143 are 3,2381. Prime factorization of 7143 in exponential form is:

7143 = 31×23811

∴ So by taking common prime factors GCF of 7137 and 7143 is 3

Greatest Common Factor of 7137 and 7143 by matching factors method

Factors of 7137

List of positive integer factors of 7137 that divides 7137 without a remainder.

1,3,9,13,39,61,117,183,549,793,2379,7137

Factors of 7143

List of positive integer factors of 7143 that divides 7143 without a remainder.

1,3,2381,7143

Greatest Common Factor

We found the factors and prime factorization of 7137 and 7143. The biggest common factor number is the GCF number.
So the greatest common factor 7137 and 7143 is 3.

Also check out the Least Common Multiple of 7137 and 7143

Properties of GCF 7137 and 7143

(i) The GCF of 7137 and 7143 is associative

GCF of 7137 and 7143 = GCF of 7143 and 7137

Related Greatest Common Factor of 7137

Related Greatest Common Factor of 7143

Frequently Asked Questions on GCF of 7137 and 7143

1. What is the GCF of 7137 and 7143?

Answer: GCF of 7137 and 7143 is 3.

2. What are the Factors of 7137?

Answer: Factors of 7137 are 1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137. There are 12 integers that are factors of 7137. The greatest factor of 7137 is 7137.

3. What are the Factors of 7143?

Answer: Factors of 7143 are 1, 3, 2381, 7143. There are 4 integers that are factors of 7143. The greatest factor of 7143 is 7143.

4. How to Find the GCF of 7137 and 7143?

Answer:

Greatest Common Factor of 7137 and 7143 = 3

Step 1: Find the prime factorization of 7137

7137 = 3 x 3 x 13 x 61

Step 2: Find the prime factorization of 7143

7143 = 3 x 2381

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7137 and 7143 is 3