Greatest Common Factor of 1035 and 1041

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 1035, 1041 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1035 and 1041 is 3.

GCF(1035,1041) = 3

GCF of 1035 and 1041

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

GCF of:
and

Greatest Common Factor of 1035 and 1041

GCF of 1035 and 1041 is 3

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

Prime Factorization of 1041


3 1041
347 347
1

Prime factors of 1041 are 3,347. Prime factorization of 1041 in exponential form is:

1041 = 31×3471

∴ So by taking common prime factors GCF of 1035 and 1041 is 3

Greatest Common Factor of 1035 and 1041 by matching factors method

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

Factors of 1041

List of positive integer factors of 1041 that divides 1041 without a remainder.

1,3,347,1041

Greatest Common Factor

We found the factors and prime factorization of 1035 and 1041. The biggest common factor number is the GCF number.
So the greatest common factor 1035 and 1041 is 3.

Also check out the Least Common Multiple of 1035 and 1041

Properties of GCF 1035 and 1041

(i) The GCF of 1035 and 1041 is associative

GCF of 1035 and 1041 = GCF of 1041 and 1035

Related Greatest Common Factor of 1035

Related Greatest Common Factor of 1041

Frequently Asked Questions on GCF of 1035 and 1041

1. What is the GCF of 1035 and 1041?

Answer: GCF of 1035 and 1041 is 3.

2. 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.

3. What are the Factors of 1041?

Answer: Factors of 1041 are 1, 3, 347, 1041. There are 4 integers that are factors of 1041. The greatest factor of 1041 is 1041.

4. How to Find the GCF of 1035 and 1041?

Answer:

Greatest Common Factor of 1035 and 1041 = 3

Step 1: Find the prime factorization of 1035

1035 = 3 x 3 x 5 x 23

Step 2: Find the prime factorization of 1041

1041 = 3 x 347

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 1035 and 1041 is 3