Greatest Common Factor of 7042 and 7047

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 7042, 7047 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7042 and 7047 is 1.

GCF(7042,7047) = 1

GCF of 7042 and 7047

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

GCF of:
and

Greatest Common Factor of 7042 and 7047

GCF of 7042 and 7047 is 1

Prime Factorization of 7042


2 7042
7 3521
503 503
1

Prime factors of 7042 are 2,7,503. Prime factorization of 7042 in exponential form is:

7042 = 21×71×5031

Prime Factorization of 7047


3 7047
3 2349
3 783
3 261
3 87
29 29
1

Prime factors of 7047 are 3,29. Prime factorization of 7047 in exponential form is:

7047 = 35×291

∴ So by taking common prime factors GCF of 7042 and 7047 is 1

Greatest Common Factor of 7042 and 7047 by matching factors method

Factors of 7042

List of positive integer factors of 7042 that divides 7042 without a remainder.

1,2,7,14,503,1006,3521,7042

Factors of 7047

List of positive integer factors of 7047 that divides 7047 without a remainder.

1,3,9,27,29,81,87,243,261,783,2349,7047

Greatest Common Factor

We found the factors and prime factorization of 7042 and 7047. The biggest common factor number is the GCF number.
So the greatest common factor 7042 and 7047 is 1.

Also check out the Least Common Multiple of 7042 and 7047

Properties of GCF 7042 and 7047

(i) The GCF of 7042 and 7047 is associative

GCF of 7042 and 7047 = GCF of 7047 and 7042

Related Greatest Common Factor of 7042

Related Greatest Common Factor of 7047

Frequently Asked Questions on GCF of 7042 and 7047

1. What is the GCF of 7042 and 7047?

Answer: GCF of 7042 and 7047 is 1.

2. What are the Factors of 7042?

Answer: Factors of 7042 are 1, 2, 7, 14, 503, 1006, 3521, 7042. There are 8 integers that are factors of 7042. The greatest factor of 7042 is 7042.

3. What are the Factors of 7047?

Answer: Factors of 7047 are 1, 3, 9, 27, 29, 81, 87, 243, 261, 783, 2349, 7047. There are 12 integers that are factors of 7047. The greatest factor of 7047 is 7047.

4. How to Find the GCF of 7042 and 7047?

Answer:

Greatest Common Factor of 7042 and 7047 = 1

Step 1: Find the prime factorization of 7042

7042 = 2 x 7 x 503

Step 2: Find the prime factorization of 7047

7047 = 3 x 3 x 3 x 3 x 3 x 29

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 7042 and 7047 is 1