Greatest Common Factor of 1065 and 1071

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 1065, 1071 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1065 and 1071 is 3.

GCF(1065,1071) = 3

GCF of 1065 and 1071

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

GCF of:
and

Greatest Common Factor of 1065 and 1071

GCF of 1065 and 1071 is 3

Prime Factorization of 1065


3 1065
5 355
71 71
1

Prime factors of 1065 are 3,5,71. Prime factorization of 1065 in exponential form is:

1065 = 31×51×711

Prime Factorization of 1071


3 1071
3 357
7 119
17 17
1

Prime factors of 1071 are 3,7,17. Prime factorization of 1071 in exponential form is:

1071 = 32×71×171

∴ So by taking common prime factors GCF of 1065 and 1071 is 3

Greatest Common Factor of 1065 and 1071 by matching factors method

Factors of 1065

List of positive integer factors of 1065 that divides 1065 without a remainder.

1,3,5,15,71,213,355,1065

Factors of 1071

List of positive integer factors of 1071 that divides 1071 without a remainder.

1,3,7,9,17,21,51,63,119,153,357,1071

Greatest Common Factor

We found the factors and prime factorization of 1065 and 1071. The biggest common factor number is the GCF number.
So the greatest common factor 1065 and 1071 is 3.

Also check out the Least Common Multiple of 1065 and 1071

Properties of GCF 1065 and 1071

(i) The GCF of 1065 and 1071 is associative

GCF of 1065 and 1071 = GCF of 1071 and 1065

Related Greatest Common Factor of 1065

Related Greatest Common Factor of 1071

Frequently Asked Questions on GCF of 1065 and 1071

1. What is the GCF of 1065 and 1071?

Answer: GCF of 1065 and 1071 is 3.

2. What are the Factors of 1065?

Answer: Factors of 1065 are 1, 3, 5, 15, 71, 213, 355, 1065. There are 8 integers that are factors of 1065. The greatest factor of 1065 is 1065.

3. What are the Factors of 1071?

Answer: Factors of 1071 are 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071. There are 12 integers that are factors of 1071. The greatest factor of 1071 is 1071.

4. How to Find the GCF of 1065 and 1071?

Answer:

Greatest Common Factor of 1065 and 1071 = 3

Step 1: Find the prime factorization of 1065

1065 = 3 x 5 x 71

Step 2: Find the prime factorization of 1071

1071 = 3 x 3 x 7 x 17

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 1065 and 1071 is 3