Greatest Common Factor of 1036 and 1043

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 1036, 1043 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1036 and 1043 is 7.

GCF(1036,1043) = 7

GCF of 1036 and 1043

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

GCF of:
and

Greatest Common Factor of 1036 and 1043

GCF of 1036 and 1043 is 7

Prime Factorization of 1036


2 1036
2 518
7 259
37 37
1

Prime factors of 1036 are 2,7,37. Prime factorization of 1036 in exponential form is:

1036 = 22×71×371

Prime Factorization of 1043


7 1043
149 149
1

Prime factors of 1043 are 7,149. Prime factorization of 1043 in exponential form is:

1043 = 71×1491

∴ So by taking common prime factors GCF of 1036 and 1043 is 7

Greatest Common Factor of 1036 and 1043 by matching factors method

Factors of 1036

List of positive integer factors of 1036 that divides 1036 without a remainder.

1,2,4,7,14,28,37,74,148,259,518,1036

Factors of 1043

List of positive integer factors of 1043 that divides 1043 without a remainder.

1,7,149,1043

Greatest Common Factor

We found the factors and prime factorization of 1036 and 1043. The biggest common factor number is the GCF number.
So the greatest common factor 1036 and 1043 is 7.

Also check out the Least Common Multiple of 1036 and 1043

Properties of GCF 1036 and 1043

(i) The GCF of 1036 and 1043 is associative

GCF of 1036 and 1043 = GCF of 1043 and 1036

Related Greatest Common Factor of 1036

Related Greatest Common Factor of 1043

Frequently Asked Questions on GCF of 1036 and 1043

1. What is the GCF of 1036 and 1043?

Answer: GCF of 1036 and 1043 is 7.

2. What are the Factors of 1036?

Answer: Factors of 1036 are 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036. There are 12 integers that are factors of 1036. The greatest factor of 1036 is 1036.

3. What are the Factors of 1043?

Answer: Factors of 1043 are 1, 7, 149, 1043. There are 4 integers that are factors of 1043. The greatest factor of 1043 is 1043.

4. How to Find the GCF of 1036 and 1043?

Answer:

Greatest Common Factor of 1036 and 1043 = 7

Step 1: Find the prime factorization of 1036

1036 = 2 x 2 x 7 x 37

Step 2: Find the prime factorization of 1043

1043 = 7 x 149

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1036 and 1043 is 7