Greatest Common Factor of 1065 and 1073

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, 1073 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1065 and 1073 is 1.

GCF(1065,1073) = 1

GCF of 1065 and 1073

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

GCF of:
and

Greatest Common Factor of 1065 and 1073

GCF of 1065 and 1073 is 1

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 1073


29 1073
37 37
1

Prime factors of 1073 are 29,37. Prime factorization of 1073 in exponential form is:

1073 = 291×371

∴ So by taking common prime factors GCF of 1065 and 1073 is 1

Greatest Common Factor of 1065 and 1073 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 1073

List of positive integer factors of 1073 that divides 1073 without a remainder.

1,29,37,1073

Greatest Common Factor

We found the factors and prime factorization of 1065 and 1073. The biggest common factor number is the GCF number.
So the greatest common factor 1065 and 1073 is 1.

Also check out the Least Common Multiple of 1065 and 1073

Properties of GCF 1065 and 1073

(i) The GCF of 1065 and 1073 is associative

GCF of 1065 and 1073 = GCF of 1073 and 1065

Related Greatest Common Factor of 1065

Related Greatest Common Factor of 1073

Frequently Asked Questions on GCF of 1065 and 1073

1. What is the GCF of 1065 and 1073?

Answer: GCF of 1065 and 1073 is 1.

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 1073?

Answer: Factors of 1073 are 1, 29, 37, 1073. There are 4 integers that are factors of 1073. The greatest factor of 1073 is 1073.

4. How to Find the GCF of 1065 and 1073?

Answer:

Greatest Common Factor of 1065 and 1073 = 1

Step 1: Find the prime factorization of 1065

1065 = 3 x 5 x 71

Step 2: Find the prime factorization of 1073

1073 = 29 x 37

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 1065 and 1073 is 1