Greatest Common Factor of 9040 and 9044

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 9040, 9044 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9040 and 9044 is 4.

GCF(9040,9044) = 4

GCF of 9040 and 9044

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

GCF of:
and

Greatest Common Factor of 9040 and 9044

GCF of 9040 and 9044 is 4

Prime Factorization of 9040


2 9040
2 4520
2 2260
2 1130
5 565
113 113
1

Prime factors of 9040 are 2,5,113. Prime factorization of 9040 in exponential form is:

9040 = 24×51×1131

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

∴ So by taking common prime factors GCF of 9040 and 9044 is 4

Greatest Common Factor of 9040 and 9044 by matching factors method

Factors of 9040

List of positive integer factors of 9040 that divides 9040 without a remainder.

1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040

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

Greatest Common Factor

We found the factors and prime factorization of 9040 and 9044. The biggest common factor number is the GCF number.
So the greatest common factor 9040 and 9044 is 4.

Also check out the Least Common Multiple of 9040 and 9044

Properties of GCF 9040 and 9044

(i) The GCF of 9040 and 9044 is associative

GCF of 9040 and 9044 = GCF of 9044 and 9040

Related Greatest Common Factor of 9040

Related Greatest Common Factor of 9044

Frequently Asked Questions on GCF of 9040 and 9044

1. What is the GCF of 9040 and 9044?

Answer: GCF of 9040 and 9044 is 4.

2. What are the Factors of 9040?

Answer: Factors of 9040 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040. There are 20 integers that are factors of 9040. The greatest factor of 9040 is 9040.

3. 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.

4. How to Find the GCF of 9040 and 9044?

Answer:

Greatest Common Factor of 9040 and 9044 = 4

Step 1: Find the prime factorization of 9040

9040 = 2 x 2 x 2 x 2 x 5 x 113

Step 2: Find the prime factorization of 9044

9044 = 2 x 2 x 7 x 17 x 19

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 9040 and 9044 is 4