Greatest Common Factor of 7138 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 7138, 7143 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7138 and 7143 is 1.

GCF(7138,7143) = 1

GCF of 7138 and 7143

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

GCF of:
and

Greatest Common Factor of 7138 and 7143

GCF of 7138 and 7143 is 1

Prime Factorization of 7138


2 7138
43 3569
83 83
1

Prime factors of 7138 are 2,43,83. Prime factorization of 7138 in exponential form is:

7138 = 21×431×831

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 7138 and 7143 is 1

Greatest Common Factor of 7138 and 7143 by matching factors method

Factors of 7138

List of positive integer factors of 7138 that divides 7138 without a remainder.

1,2,43,83,86,166,3569,7138

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 7138 and 7143. The biggest common factor number is the GCF number.
So the greatest common factor 7138 and 7143 is 1.

Also check out the Least Common Multiple of 7138 and 7143

Properties of GCF 7138 and 7143

(i) The GCF of 7138 and 7143 is associative

GCF of 7138 and 7143 = GCF of 7143 and 7138

Related Greatest Common Factor of 7138

Related Greatest Common Factor of 7143

Frequently Asked Questions on GCF of 7138 and 7143

1. What is the GCF of 7138 and 7143?

Answer: GCF of 7138 and 7143 is 1.

2. What are the Factors of 7138?

Answer: Factors of 7138 are 1, 2, 43, 83, 86, 166, 3569, 7138. There are 8 integers that are factors of 7138. The greatest factor of 7138 is 7138.

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 7138 and 7143?

Answer:

Greatest Common Factor of 7138 and 7143 = 1

Step 1: Find the prime factorization of 7138

7138 = 2 x 43 x 83

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 = = 1

Step 4: Therefore, the greatest common factor of 7138 and 7143 is 1