Greatest Common Factor of 9028 and 9030

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 9028, 9030 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9028 and 9030 is 2.

GCF(9028,9030) = 2

GCF of 9028 and 9030

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

GCF of:
and

Greatest Common Factor of 9028 and 9030

GCF of 9028 and 9030 is 2

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

Prime Factorization of 9030


2 9030
3 4515
5 1505
7 301
43 43
1

Prime factors of 9030 are 2,3,5,7,43. Prime factorization of 9030 in exponential form is:

9030 = 21×31×51×71×431

∴ So by taking common prime factors GCF of 9028 and 9030 is 2

Greatest Common Factor of 9028 and 9030 by matching factors method

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

Factors of 9030

List of positive integer factors of 9030 that divides 9030 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,43,70,86,105,129,210,215,258,301,430,602,645,903,1290,1505,1806,3010,4515,9030

Greatest Common Factor

We found the factors and prime factorization of 9028 and 9030. The biggest common factor number is the GCF number.
So the greatest common factor 9028 and 9030 is 2.

Also check out the Least Common Multiple of 9028 and 9030

Properties of GCF 9028 and 9030

(i) The GCF of 9028 and 9030 is associative

GCF of 9028 and 9030 = GCF of 9030 and 9028

Related Greatest Common Factor of 9028

Related Greatest Common Factor of 9030

Frequently Asked Questions on GCF of 9028 and 9030

1. What is the GCF of 9028 and 9030?

Answer: GCF of 9028 and 9030 is 2.

2. 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.

3. What are the Factors of 9030?

Answer: Factors of 9030 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 43, 70, 86, 105, 129, 210, 215, 258, 301, 430, 602, 645, 903, 1290, 1505, 1806, 3010, 4515, 9030. There are 32 integers that are factors of 9030. The greatest factor of 9030 is 9030.

4. How to Find the GCF of 9028 and 9030?

Answer:

Greatest Common Factor of 9028 and 9030 = 2

Step 1: Find the prime factorization of 9028

9028 = 2 x 2 x 37 x 61

Step 2: Find the prime factorization of 9030

9030 = 2 x 3 x 5 x 7 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 9028 and 9030 is 2