Greatest Common Factor of 9020 and 9024

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 9020, 9024 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9020 and 9024 is 4.

GCF(9020,9024) = 4

GCF of 9020 and 9024

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

GCF of:
and

Greatest Common Factor of 9020 and 9024

GCF of 9020 and 9024 is 4

Prime Factorization of 9020


2 9020
2 4510
5 2255
11 451
41 41
1

Prime factors of 9020 are 2,5,11,41. Prime factorization of 9020 in exponential form is:

9020 = 22×51×111×411

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

∴ So by taking common prime factors GCF of 9020 and 9024 is 4

Greatest Common Factor of 9020 and 9024 by matching factors method

Factors of 9020

List of positive integer factors of 9020 that divides 9020 without a remainder.

1,2,4,5,10,11,20,22,41,44,55,82,110,164,205,220,410,451,820,902,1804,2255,4510,9020

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

Greatest Common Factor

We found the factors and prime factorization of 9020 and 9024. The biggest common factor number is the GCF number.
So the greatest common factor 9020 and 9024 is 4.

Also check out the Least Common Multiple of 9020 and 9024

Properties of GCF 9020 and 9024

(i) The GCF of 9020 and 9024 is associative

GCF of 9020 and 9024 = GCF of 9024 and 9020

Related Greatest Common Factor of 9020

Related Greatest Common Factor of 9024

Frequently Asked Questions on GCF of 9020 and 9024

1. What is the GCF of 9020 and 9024?

Answer: GCF of 9020 and 9024 is 4.

2. What are the Factors of 9020?

Answer: Factors of 9020 are 1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220, 410, 451, 820, 902, 1804, 2255, 4510, 9020. There are 24 integers that are factors of 9020. The greatest factor of 9020 is 9020.

3. 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.

4. How to Find the GCF of 9020 and 9024?

Answer:

Greatest Common Factor of 9020 and 9024 = 4

Step 1: Find the prime factorization of 9020

9020 = 2 x 2 x 5 x 11 x 41

Step 2: Find the prime factorization of 9024

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

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 9020 and 9024 is 4