Greatest Common Factor of 9024 and 9032

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 9024, 9032 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9024 and 9032 is 8.

GCF(9024,9032) = 8

GCF of 9024 and 9032

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

GCF of:
and

Greatest Common Factor of 9024 and 9032

GCF of 9024 and 9032 is 8

Prime Factorization of 9024


2 9024
2 4512
2 2256
2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 9024 are 2,3,47. Prime factorization of 9024 in exponential form is:

9024 = 26×31×471

Prime Factorization of 9032


2 9032
2 4516
2 2258
1129 1129
1

Prime factors of 9032 are 2,1129. Prime factorization of 9032 in exponential form is:

9032 = 23×11291

∴ So by taking common prime factors GCF of 9024 and 9032 is 8

Greatest Common Factor of 9024 and 9032 by matching factors method

Factors of 9024

List of positive integer factors of 9024 that divides 9024 without a remainder.

1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024

Factors of 9032

List of positive integer factors of 9032 that divides 9032 without a remainder.

1,2,4,8,1129,2258,4516,9032

Greatest Common Factor

We found the factors and prime factorization of 9024 and 9032. The biggest common factor number is the GCF number.
So the greatest common factor 9024 and 9032 is 8.

Also check out the Least Common Multiple of 9024 and 9032

Properties of GCF 9024 and 9032

(i) The GCF of 9024 and 9032 is associative

GCF of 9024 and 9032 = GCF of 9032 and 9024

Related Greatest Common Factor of 9024

Related Greatest Common Factor of 9032

Frequently Asked Questions on GCF of 9024 and 9032

1. What is the GCF of 9024 and 9032?

Answer: GCF of 9024 and 9032 is 8.

2. What are the Factors of 9024?

Answer: Factors of 9024 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024. There are 28 integers that are factors of 9024. The greatest factor of 9024 is 9024.

3. What are the Factors of 9032?

Answer: Factors of 9032 are 1, 2, 4, 8, 1129, 2258, 4516, 9032. There are 8 integers that are factors of 9032. The greatest factor of 9032 is 9032.

4. How to Find the GCF of 9024 and 9032?

Answer:

Greatest Common Factor of 9024 and 9032 = 8

Step 1: Find the prime factorization of 9024

9024 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47

Step 2: Find the prime factorization of 9032

9032 = 2 x 2 x 2 x 1129

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 9024 and 9032 is 8