Greatest Common Factor of 7029 and 7035

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 7029, 7035 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7029 and 7035 is 3.

GCF(7029,7035) = 3

GCF of 7029 and 7035

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

GCF of:
and

Greatest Common Factor of 7029 and 7035

GCF of 7029 and 7035 is 3

Prime Factorization of 7029


3 7029
3 2343
11 781
71 71
1

Prime factors of 7029 are 3,11,71. Prime factorization of 7029 in exponential form is:

7029 = 32×111×711

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

∴ So by taking common prime factors GCF of 7029 and 7035 is 3

Greatest Common Factor of 7029 and 7035 by matching factors method

Factors of 7029

List of positive integer factors of 7029 that divides 7029 without a remainder.

1,3,9,11,33,71,99,213,639,781,2343,7029

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

Greatest Common Factor

We found the factors and prime factorization of 7029 and 7035. The biggest common factor number is the GCF number.
So the greatest common factor 7029 and 7035 is 3.

Also check out the Least Common Multiple of 7029 and 7035

Properties of GCF 7029 and 7035

(i) The GCF of 7029 and 7035 is associative

GCF of 7029 and 7035 = GCF of 7035 and 7029

Related Greatest Common Factor of 7029

Related Greatest Common Factor of 7035

Frequently Asked Questions on GCF of 7029 and 7035

1. What is the GCF of 7029 and 7035?

Answer: GCF of 7029 and 7035 is 3.

2. What are the Factors of 7029?

Answer: Factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029. There are 12 integers that are factors of 7029. The greatest factor of 7029 is 7029.

3. 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.

4. How to Find the GCF of 7029 and 7035?

Answer:

Greatest Common Factor of 7029 and 7035 = 3

Step 1: Find the prime factorization of 7029

7029 = 3 x 3 x 11 x 71

Step 2: Find the prime factorization of 7035

7035 = 3 x 5 x 7 x 67

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 7029 and 7035 is 3