Greatest Common Factor of 9030 and 9035

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 9030, 9035 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9030 and 9035 is 5.

GCF(9030,9035) = 5

GCF of 9030 and 9035

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

GCF of:
and

Greatest Common Factor of 9030 and 9035

GCF of 9030 and 9035 is 5

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

Prime Factorization of 9035


5 9035
13 1807
139 139
1

Prime factors of 9035 are 5,13,139. Prime factorization of 9035 in exponential form is:

9035 = 51×131×1391

∴ So by taking common prime factors GCF of 9030 and 9035 is 5

Greatest Common Factor of 9030 and 9035 by matching factors method

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

Factors of 9035

List of positive integer factors of 9035 that divides 9035 without a remainder.

1,5,13,65,139,695,1807,9035

Greatest Common Factor

We found the factors and prime factorization of 9030 and 9035. The biggest common factor number is the GCF number.
So the greatest common factor 9030 and 9035 is 5.

Also check out the Least Common Multiple of 9030 and 9035

Properties of GCF 9030 and 9035

(i) The GCF of 9030 and 9035 is associative

GCF of 9030 and 9035 = GCF of 9035 and 9030

Related Greatest Common Factor of 9030

Related Greatest Common Factor of 9035

Frequently Asked Questions on GCF of 9030 and 9035

1. What is the GCF of 9030 and 9035?

Answer: GCF of 9030 and 9035 is 5.

2. 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.

3. What are the Factors of 9035?

Answer: Factors of 9035 are 1, 5, 13, 65, 139, 695, 1807, 9035. There are 8 integers that are factors of 9035. The greatest factor of 9035 is 9035.

4. How to Find the GCF of 9030 and 9035?

Answer:

Greatest Common Factor of 9030 and 9035 = 5

Step 1: Find the prime factorization of 9030

9030 = 2 x 3 x 5 x 7 x 43

Step 2: Find the prime factorization of 9035

9035 = 5 x 13 x 139

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9030 and 9035 is 5