Greatest Common Factor of 1059 and 1065

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 1059, 1065 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1059 and 1065 is 3.

GCF(1059,1065) = 3

GCF of 1059 and 1065

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

GCF of:
and

Greatest Common Factor of 1059 and 1065

GCF of 1059 and 1065 is 3

Prime Factorization of 1059


3 1059
353 353
1

Prime factors of 1059 are 3,353. Prime factorization of 1059 in exponential form is:

1059 = 31×3531

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

∴ So by taking common prime factors GCF of 1059 and 1065 is 3

Greatest Common Factor of 1059 and 1065 by matching factors method

Factors of 1059

List of positive integer factors of 1059 that divides 1059 without a remainder.

1,3,353,1059

Factors of 1065

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

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

Greatest Common Factor

We found the factors and prime factorization of 1059 and 1065. The biggest common factor number is the GCF number.
So the greatest common factor 1059 and 1065 is 3.

Also check out the Least Common Multiple of 1059 and 1065

Properties of GCF 1059 and 1065

(i) The GCF of 1059 and 1065 is associative

GCF of 1059 and 1065 = GCF of 1065 and 1059

Related Greatest Common Factor of 1059

Related Greatest Common Factor of 1065

Frequently Asked Questions on GCF of 1059 and 1065

1. What is the GCF of 1059 and 1065?

Answer: GCF of 1059 and 1065 is 3.

2. What are the Factors of 1059?

Answer: Factors of 1059 are 1, 3, 353, 1059. There are 4 integers that are factors of 1059. The greatest factor of 1059 is 1059.

3. 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.

4. How to Find the GCF of 1059 and 1065?

Answer:

Greatest Common Factor of 1059 and 1065 = 3

Step 1: Find the prime factorization of 1059

1059 = 3 x 353

Step 2: Find the prime factorization of 1065

1065 = 3 x 5 x 71

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 1059 and 1065 is 3