Greatest Common Factor of 1044 and 1047

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 1044, 1047 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1044 and 1047 is 3.

GCF(1044,1047) = 3

GCF of 1044 and 1047

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

GCF of:
and

Greatest Common Factor of 1044 and 1047

GCF of 1044 and 1047 is 3

Prime Factorization of 1044


2 1044
2 522
3 261
3 87
29 29
1

Prime factors of 1044 are 2,3,29. Prime factorization of 1044 in exponential form is:

1044 = 22×32×291

Prime Factorization of 1047


3 1047
349 349
1

Prime factors of 1047 are 3,349. Prime factorization of 1047 in exponential form is:

1047 = 31×3491

∴ So by taking common prime factors GCF of 1044 and 1047 is 3

Greatest Common Factor of 1044 and 1047 by matching factors method

Factors of 1044

List of positive integer factors of 1044 that divides 1044 without a remainder.

1,2,3,4,6,9,12,18,29,36,58,87,116,174,261,348,522,1044

Factors of 1047

List of positive integer factors of 1047 that divides 1047 without a remainder.

1,3,349,1047

Greatest Common Factor

We found the factors and prime factorization of 1044 and 1047. The biggest common factor number is the GCF number.
So the greatest common factor 1044 and 1047 is 3.

Also check out the Least Common Multiple of 1044 and 1047

Properties of GCF 1044 and 1047

(i) The GCF of 1044 and 1047 is associative

GCF of 1044 and 1047 = GCF of 1047 and 1044

Related Greatest Common Factor of 1044

Related Greatest Common Factor of 1047

Frequently Asked Questions on GCF of 1044 and 1047

1. What is the GCF of 1044 and 1047?

Answer: GCF of 1044 and 1047 is 3.

2. What are the Factors of 1044?

Answer: Factors of 1044 are 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044. There are 18 integers that are factors of 1044. The greatest factor of 1044 is 1044.

3. What are the Factors of 1047?

Answer: Factors of 1047 are 1, 3, 349, 1047. There are 4 integers that are factors of 1047. The greatest factor of 1047 is 1047.

4. How to Find the GCF of 1044 and 1047?

Answer:

Greatest Common Factor of 1044 and 1047 = 3

Step 1: Find the prime factorization of 1044

1044 = 2 x 2 x 3 x 3 x 29

Step 2: Find the prime factorization of 1047

1047 = 3 x 349

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 1044 and 1047 is 3