Greatest Common Factor of 1044 and 1045

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, 1045 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1044 and 1045 is 1.

GCF(1044,1045) = 1

GCF of 1044 and 1045

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

GCF of:
and

Greatest Common Factor of 1044 and 1045

GCF of 1044 and 1045 is 1

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 1045


5 1045
11 209
19 19
1

Prime factors of 1045 are 5,11,19. Prime factorization of 1045 in exponential form is:

1045 = 51×111×191

∴ So by taking common prime factors GCF of 1044 and 1045 is 1

Greatest Common Factor of 1044 and 1045 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 1045

List of positive integer factors of 1045 that divides 1045 without a remainder.

1,5,11,19,55,95,209,1045

Greatest Common Factor

We found the factors and prime factorization of 1044 and 1045. The biggest common factor number is the GCF number.
So the greatest common factor 1044 and 1045 is 1.

Also check out the Least Common Multiple of 1044 and 1045

Properties of GCF 1044 and 1045

(i) The GCF of 1044 and 1045 is associative

GCF of 1044 and 1045 = GCF of 1045 and 1044

Related Greatest Common Factor of 1044

Related Greatest Common Factor of 1045

Frequently Asked Questions on GCF of 1044 and 1045

1. What is the GCF of 1044 and 1045?

Answer: GCF of 1044 and 1045 is 1.

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 1045?

Answer: Factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045. There are 8 integers that are factors of 1045. The greatest factor of 1045 is 1045.

4. How to Find the GCF of 1044 and 1045?

Answer:

Greatest Common Factor of 1044 and 1045 = 1

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 1045

1045 = 5 x 11 x 19

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 1044 and 1045 is 1