Greatest Common Factor of 1029 and 1035

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 1029, 1035 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1029 and 1035 is 3.

GCF(1029,1035) = 3

GCF of 1029 and 1035

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

GCF of:
and

Greatest Common Factor of 1029 and 1035

GCF of 1029 and 1035 is 3

Prime Factorization of 1029


3 1029
7 343
7 49
7 7
1

Prime factors of 1029 are 3,7. Prime factorization of 1029 in exponential form is:

1029 = 31×73

Prime Factorization of 1035


3 1035
3 345
5 115
23 23
1

Prime factors of 1035 are 3,5,23. Prime factorization of 1035 in exponential form is:

1035 = 32×51×231

∴ So by taking common prime factors GCF of 1029 and 1035 is 3

Greatest Common Factor of 1029 and 1035 by matching factors method

Factors of 1029

List of positive integer factors of 1029 that divides 1029 without a remainder.

1,3,7,21,49,147,343,1029

Factors of 1035

List of positive integer factors of 1035 that divides 1035 without a remainder.

1,3,5,9,15,23,45,69,115,207,345,1035

Greatest Common Factor

We found the factors and prime factorization of 1029 and 1035. The biggest common factor number is the GCF number.
So the greatest common factor 1029 and 1035 is 3.

Also check out the Least Common Multiple of 1029 and 1035

Properties of GCF 1029 and 1035

(i) The GCF of 1029 and 1035 is associative

GCF of 1029 and 1035 = GCF of 1035 and 1029

Related Greatest Common Factor of 1029

Related Greatest Common Factor of 1035

Frequently Asked Questions on GCF of 1029 and 1035

1. What is the GCF of 1029 and 1035?

Answer: GCF of 1029 and 1035 is 3.

2. What are the Factors of 1029?

Answer: Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029. There are 8 integers that are factors of 1029. The greatest factor of 1029 is 1029.

3. What are the Factors of 1035?

Answer: Factors of 1035 are 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035. There are 12 integers that are factors of 1035. The greatest factor of 1035 is 1035.

4. How to Find the GCF of 1029 and 1035?

Answer:

Greatest Common Factor of 1029 and 1035 = 3

Step 1: Find the prime factorization of 1029

1029 = 3 x 7 x 7 x 7

Step 2: Find the prime factorization of 1035

1035 = 3 x 3 x 5 x 23

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 1029 and 1035 is 3