Greatest Common Factor of 7042 and 7046

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, 7046 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7042 and 7046 is 2.

GCF(7042,7046) = 2

GCF of 7042 and 7046

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

GCF of:
and

Greatest Common Factor of 7042 and 7046

GCF of 7042 and 7046 is 2

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 7046


2 7046
13 3523
271 271
1

Prime factors of 7046 are 2,13,271. Prime factorization of 7046 in exponential form is:

7046 = 21×131×2711

∴ So by taking common prime factors GCF of 7042 and 7046 is 2

Greatest Common Factor of 7042 and 7046 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 7046

List of positive integer factors of 7046 that divides 7046 without a remainder.

1,2,13,26,271,542,3523,7046

Greatest Common Factor

We found the factors and prime factorization of 7042 and 7046. The biggest common factor number is the GCF number.
So the greatest common factor 7042 and 7046 is 2.

Also check out the Least Common Multiple of 7042 and 7046

Properties of GCF 7042 and 7046

(i) The GCF of 7042 and 7046 is associative

GCF of 7042 and 7046 = GCF of 7046 and 7042

Related Greatest Common Factor of 7042

Related Greatest Common Factor of 7046

Frequently Asked Questions on GCF of 7042 and 7046

1. What is the GCF of 7042 and 7046?

Answer: GCF of 7042 and 7046 is 2.

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 7046?

Answer: Factors of 7046 are 1, 2, 13, 26, 271, 542, 3523, 7046. There are 8 integers that are factors of 7046. The greatest factor of 7046 is 7046.

4. How to Find the GCF of 7042 and 7046?

Answer:

Greatest Common Factor of 7042 and 7046 = 2

Step 1: Find the prime factorization of 7042

7042 = 2 x 7 x 503

Step 2: Find the prime factorization of 7046

7046 = 2 x 13 x 271

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7042 and 7046 is 2