Greatest Common Factor of 9044 and 9050

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, 9050 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9044 and 9050 is 2.

GCF(9044,9050) = 2

GCF of 9044 and 9050

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

GCF of:
and

Greatest Common Factor of 9044 and 9050

GCF of 9044 and 9050 is 2

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 9050


2 9050
5 4525
5 905
181 181
1

Prime factors of 9050 are 2,5,181. Prime factorization of 9050 in exponential form is:

9050 = 21×52×1811

∴ So by taking common prime factors GCF of 9044 and 9050 is 2

Greatest Common Factor of 9044 and 9050 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 9050

List of positive integer factors of 9050 that divides 9050 without a remainder.

1,2,5,10,25,50,181,362,905,1810,4525,9050

Greatest Common Factor

We found the factors and prime factorization of 9044 and 9050. The biggest common factor number is the GCF number.
So the greatest common factor 9044 and 9050 is 2.

Also check out the Least Common Multiple of 9044 and 9050

Properties of GCF 9044 and 9050

(i) The GCF of 9044 and 9050 is associative

GCF of 9044 and 9050 = GCF of 9050 and 9044

Related Greatest Common Factor of 9044

Related Greatest Common Factor of 9050

Frequently Asked Questions on GCF of 9044 and 9050

1. What is the GCF of 9044 and 9050?

Answer: GCF of 9044 and 9050 is 2.

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 9050?

Answer: Factors of 9050 are 1, 2, 5, 10, 25, 50, 181, 362, 905, 1810, 4525, 9050. There are 12 integers that are factors of 9050. The greatest factor of 9050 is 9050.

4. How to Find the GCF of 9044 and 9050?

Answer:

Greatest Common Factor of 9044 and 9050 = 2

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 9050

9050 = 2 x 5 x 5 x 181

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9044 and 9050 is 2