Greatest Common Factor of 9044 and 9048

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 9044, 9048 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9044 and 9048 is 4.

GCF(9044,9048) = 4

GCF of 9044 and 9048

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

GCF of:
and

Greatest Common Factor of 9044 and 9048

GCF of 9044 and 9048 is 4

Prime Factorization of 9044


2 9044
2 4522
7 2261
17 323
19 19
1

Prime factors of 9044 are 2,7,17,19. Prime factorization of 9044 in exponential form is:

9044 = 22×71×171×191

Prime Factorization of 9048


2 9048
2 4524
2 2262
3 1131
13 377
29 29
1

Prime factors of 9048 are 2,3,13,29. Prime factorization of 9048 in exponential form is:

9048 = 23×31×131×291

∴ So by taking common prime factors GCF of 9044 and 9048 is 4

Greatest Common Factor of 9044 and 9048 by matching factors method

Factors of 9044

List of positive integer factors of 9044 that divides 9044 without a remainder.

1,2,4,7,14,17,19,28,34,38,68,76,119,133,238,266,323,476,532,646,1292,2261,4522,9044

Factors of 9048

List of positive integer factors of 9048 that divides 9048 without a remainder.

1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048

Greatest Common Factor

We found the factors and prime factorization of 9044 and 9048. The biggest common factor number is the GCF number.
So the greatest common factor 9044 and 9048 is 4.

Also check out the Least Common Multiple of 9044 and 9048

Properties of GCF 9044 and 9048

(i) The GCF of 9044 and 9048 is associative

GCF of 9044 and 9048 = GCF of 9048 and 9044

Related Greatest Common Factor of 9044

Related Greatest Common Factor of 9048

Frequently Asked Questions on GCF of 9044 and 9048

1. What is the GCF of 9044 and 9048?

Answer: GCF of 9044 and 9048 is 4.

2. What are the Factors of 9044?

Answer: Factors of 9044 are 1, 2, 4, 7, 14, 17, 19, 28, 34, 38, 68, 76, 119, 133, 238, 266, 323, 476, 532, 646, 1292, 2261, 4522, 9044. There are 24 integers that are factors of 9044. The greatest factor of 9044 is 9044.

3. What are the Factors of 9048?

Answer: Factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048. There are 32 integers that are factors of 9048. The greatest factor of 9048 is 9048.

4. How to Find the GCF of 9044 and 9048?

Answer:

Greatest Common Factor of 9044 and 9048 = 4

Step 1: Find the prime factorization of 9044

9044 = 2 x 2 x 7 x 17 x 19

Step 2: Find the prime factorization of 9048

9048 = 2 x 2 x 2 x 3 x 13 x 29

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 9044 and 9048 is 4