Greatest Common Factor of 7035 and 7042

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 7035, 7042 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7035 and 7042 is 7.

GCF(7035,7042) = 7

GCF of 7035 and 7042

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

GCF of:
and

Greatest Common Factor of 7035 and 7042

GCF of 7035 and 7042 is 7

Prime Factorization of 7035


3 7035
5 2345
7 469
67 67
1

Prime factors of 7035 are 3,5,7,67. Prime factorization of 7035 in exponential form is:

7035 = 31×51×71×671

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

∴ So by taking common prime factors GCF of 7035 and 7042 is 7

Greatest Common Factor of 7035 and 7042 by matching factors method

Factors of 7035

List of positive integer factors of 7035 that divides 7035 without a remainder.

1,3,5,7,15,21,35,67,105,201,335,469,1005,1407,2345,7035

Factors of 7042

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

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

Greatest Common Factor

We found the factors and prime factorization of 7035 and 7042. The biggest common factor number is the GCF number.
So the greatest common factor 7035 and 7042 is 7.

Also check out the Least Common Multiple of 7035 and 7042

Properties of GCF 7035 and 7042

(i) The GCF of 7035 and 7042 is associative

GCF of 7035 and 7042 = GCF of 7042 and 7035

Related Greatest Common Factor of 7035

Related Greatest Common Factor of 7042

Frequently Asked Questions on GCF of 7035 and 7042

1. What is the GCF of 7035 and 7042?

Answer: GCF of 7035 and 7042 is 7.

2. What are the Factors of 7035?

Answer: Factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035. There are 16 integers that are factors of 7035. The greatest factor of 7035 is 7035.

3. 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.

4. How to Find the GCF of 7035 and 7042?

Answer:

Greatest Common Factor of 7035 and 7042 = 7

Step 1: Find the prime factorization of 7035

7035 = 3 x 5 x 7 x 67

Step 2: Find the prime factorization of 7042

7042 = 2 x 7 x 503

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 7035 and 7042 is 7