Greatest Common Factor of 9048 and 9056

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 9048, 9056 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9048 and 9056 is 8.

GCF(9048,9056) = 8

GCF of 9048 and 9056

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

GCF of:
and

Greatest Common Factor of 9048 and 9056

GCF of 9048 and 9056 is 8

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

Prime Factorization of 9056


2 9056
2 4528
2 2264
2 1132
2 566
283 283
1

Prime factors of 9056 are 2,283. Prime factorization of 9056 in exponential form is:

9056 = 25×2831

∴ So by taking common prime factors GCF of 9048 and 9056 is 8

Greatest Common Factor of 9048 and 9056 by matching factors method

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

Factors of 9056

List of positive integer factors of 9056 that divides 9056 without a remainder.

1,2,4,8,16,32,283,566,1132,2264,4528,9056

Greatest Common Factor

We found the factors and prime factorization of 9048 and 9056. The biggest common factor number is the GCF number.
So the greatest common factor 9048 and 9056 is 8.

Also check out the Least Common Multiple of 9048 and 9056

Properties of GCF 9048 and 9056

(i) The GCF of 9048 and 9056 is associative

GCF of 9048 and 9056 = GCF of 9056 and 9048

Related Greatest Common Factor of 9048

Related Greatest Common Factor of 9056

Frequently Asked Questions on GCF of 9048 and 9056

1. What is the GCF of 9048 and 9056?

Answer: GCF of 9048 and 9056 is 8.

2. 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.

3. What are the Factors of 9056?

Answer: Factors of 9056 are 1, 2, 4, 8, 16, 32, 283, 566, 1132, 2264, 4528, 9056. There are 12 integers that are factors of 9056. The greatest factor of 9056 is 9056.

4. How to Find the GCF of 9048 and 9056?

Answer:

Greatest Common Factor of 9048 and 9056 = 8

Step 1: Find the prime factorization of 9048

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

Step 2: Find the prime factorization of 9056

9056 = 2 x 2 x 2 x 2 x 2 x 283

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 9048 and 9056 is 8