Greatest Common Factor of 1065 and 1070

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, 1070 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1065 and 1070 is 5.

GCF(1065,1070) = 5

GCF of 1065 and 1070

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

GCF of:
and

Greatest Common Factor of 1065 and 1070

GCF of 1065 and 1070 is 5

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 1070


2 1070
5 535
107 107
1

Prime factors of 1070 are 2,5,107. Prime factorization of 1070 in exponential form is:

1070 = 21×51×1071

∴ So by taking common prime factors GCF of 1065 and 1070 is 5

Greatest Common Factor of 1065 and 1070 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 1070

List of positive integer factors of 1070 that divides 1070 without a remainder.

1,2,5,10,107,214,535,1070

Greatest Common Factor

We found the factors and prime factorization of 1065 and 1070. The biggest common factor number is the GCF number.
So the greatest common factor 1065 and 1070 is 5.

Also check out the Least Common Multiple of 1065 and 1070

Properties of GCF 1065 and 1070

(i) The GCF of 1065 and 1070 is associative

GCF of 1065 and 1070 = GCF of 1070 and 1065

Related Greatest Common Factor of 1065

Related Greatest Common Factor of 1070

Frequently Asked Questions on GCF of 1065 and 1070

1. What is the GCF of 1065 and 1070?

Answer: GCF of 1065 and 1070 is 5.

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 1070?

Answer: Factors of 1070 are 1, 2, 5, 10, 107, 214, 535, 1070. There are 8 integers that are factors of 1070. The greatest factor of 1070 is 1070.

4. How to Find the GCF of 1065 and 1070?

Answer:

Greatest Common Factor of 1065 and 1070 = 5

Step 1: Find the prime factorization of 1065

1065 = 3 x 5 x 71

Step 2: Find the prime factorization of 1070

1070 = 2 x 5 x 107

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1065 and 1070 is 5