Greatest Common Factor of 1044 and 1048

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, 1048 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1044 and 1048 is 4.

GCF(1044,1048) = 4

GCF of 1044 and 1048

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

GCF of:
and

Greatest Common Factor of 1044 and 1048

GCF of 1044 and 1048 is 4

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 1048


2 1048
2 524
2 262
131 131
1

Prime factors of 1048 are 2,131. Prime factorization of 1048 in exponential form is:

1048 = 23×1311

∴ So by taking common prime factors GCF of 1044 and 1048 is 4

Greatest Common Factor of 1044 and 1048 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 1048

List of positive integer factors of 1048 that divides 1048 without a remainder.

1,2,4,8,131,262,524,1048

Greatest Common Factor

We found the factors and prime factorization of 1044 and 1048. The biggest common factor number is the GCF number.
So the greatest common factor 1044 and 1048 is 4.

Also check out the Least Common Multiple of 1044 and 1048

Properties of GCF 1044 and 1048

(i) The GCF of 1044 and 1048 is associative

GCF of 1044 and 1048 = GCF of 1048 and 1044

Related Greatest Common Factor of 1044

Related Greatest Common Factor of 1048

Frequently Asked Questions on GCF of 1044 and 1048

1. What is the GCF of 1044 and 1048?

Answer: GCF of 1044 and 1048 is 4.

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 1048?

Answer: Factors of 1048 are 1, 2, 4, 8, 131, 262, 524, 1048. There are 8 integers that are factors of 1048. The greatest factor of 1048 is 1048.

4. How to Find the GCF of 1044 and 1048?

Answer:

Greatest Common Factor of 1044 and 1048 = 4

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 1048

1048 = 2 x 2 x 2 x 131

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1044 and 1048 is 4