Greatest Common Factor of 9020 and 9028

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, 9028 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9020 and 9028 is 4.

GCF(9020,9028) = 4

GCF of 9020 and 9028

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

GCF of:
and

Greatest Common Factor of 9020 and 9028

GCF of 9020 and 9028 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 9028


2 9028
2 4514
37 2257
61 61
1

Prime factors of 9028 are 2,37,61. Prime factorization of 9028 in exponential form is:

9028 = 22×371×611

∴ So by taking common prime factors GCF of 9020 and 9028 is 4

Greatest Common Factor of 9020 and 9028 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 9028

List of positive integer factors of 9028 that divides 9028 without a remainder.

1,2,4,37,61,74,122,148,244,2257,4514,9028

Greatest Common Factor

We found the factors and prime factorization of 9020 and 9028. The biggest common factor number is the GCF number.
So the greatest common factor 9020 and 9028 is 4.

Also check out the Least Common Multiple of 9020 and 9028

Properties of GCF 9020 and 9028

(i) The GCF of 9020 and 9028 is associative

GCF of 9020 and 9028 = GCF of 9028 and 9020

Related Greatest Common Factor of 9020

Related Greatest Common Factor of 9028

Frequently Asked Questions on GCF of 9020 and 9028

1. What is the GCF of 9020 and 9028?

Answer: GCF of 9020 and 9028 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 9028?

Answer: Factors of 9028 are 1, 2, 4, 37, 61, 74, 122, 148, 244, 2257, 4514, 9028. There are 12 integers that are factors of 9028. The greatest factor of 9028 is 9028.

4. How to Find the GCF of 9020 and 9028?

Answer:

Greatest Common Factor of 9020 and 9028 = 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 9028

9028 = 2 x 2 x 37 x 61

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 9028 is 4