Greatest Common Factor of 9040 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 9040, 9048 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9040 and 9048 is 8.

GCF(9040,9048) = 8

GCF of 9040 and 9048

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

GCF of:
and

Greatest Common Factor of 9040 and 9048

GCF of 9040 and 9048 is 8

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 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 9040 and 9048 is 8

Greatest Common Factor of 9040 and 9048 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 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 9040 and 9048. The biggest common factor number is the GCF number.
So the greatest common factor 9040 and 9048 is 8.

Also check out the Least Common Multiple of 9040 and 9048

Properties of GCF 9040 and 9048

(i) The GCF of 9040 and 9048 is associative

GCF of 9040 and 9048 = GCF of 9048 and 9040

Related Greatest Common Factor of 9040

Related Greatest Common Factor of 9048

Frequently Asked Questions on GCF of 9040 and 9048

1. What is the GCF of 9040 and 9048?

Answer: GCF of 9040 and 9048 is 8.

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 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 9040 and 9048?

Answer:

Greatest Common Factor of 9040 and 9048 = 8

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 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 x 2 = 8

Step 4: Therefore, the greatest common factor of 9040 and 9048 is 8