Greatest Common Factor of 9021 and 9027

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 9021, 9027 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9021 and 9027 is 3.

GCF(9021,9027) = 3

GCF of 9021 and 9027

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

GCF of:
and

Greatest Common Factor of 9021 and 9027

GCF of 9021 and 9027 is 3

Prime Factorization of 9021


3 9021
31 3007
97 97
1

Prime factors of 9021 are 3,31,97. Prime factorization of 9021 in exponential form is:

9021 = 31×311×971

Prime Factorization of 9027


3 9027
3 3009
17 1003
59 59
1

Prime factors of 9027 are 3,17,59. Prime factorization of 9027 in exponential form is:

9027 = 32×171×591

∴ So by taking common prime factors GCF of 9021 and 9027 is 3

Greatest Common Factor of 9021 and 9027 by matching factors method

Factors of 9021

List of positive integer factors of 9021 that divides 9021 without a remainder.

1,3,31,93,97,291,3007,9021

Factors of 9027

List of positive integer factors of 9027 that divides 9027 without a remainder.

1,3,9,17,51,59,153,177,531,1003,3009,9027

Greatest Common Factor

We found the factors and prime factorization of 9021 and 9027. The biggest common factor number is the GCF number.
So the greatest common factor 9021 and 9027 is 3.

Also check out the Least Common Multiple of 9021 and 9027

Properties of GCF 9021 and 9027

(i) The GCF of 9021 and 9027 is associative

GCF of 9021 and 9027 = GCF of 9027 and 9021

Related Greatest Common Factor of 9021

Related Greatest Common Factor of 9027

Frequently Asked Questions on GCF of 9021 and 9027

1. What is the GCF of 9021 and 9027?

Answer: GCF of 9021 and 9027 is 3.

2. What are the Factors of 9021?

Answer: Factors of 9021 are 1, 3, 31, 93, 97, 291, 3007, 9021. There are 8 integers that are factors of 9021. The greatest factor of 9021 is 9021.

3. What are the Factors of 9027?

Answer: Factors of 9027 are 1, 3, 9, 17, 51, 59, 153, 177, 531, 1003, 3009, 9027. There are 12 integers that are factors of 9027. The greatest factor of 9027 is 9027.

4. How to Find the GCF of 9021 and 9027?

Answer:

Greatest Common Factor of 9021 and 9027 = 3

Step 1: Find the prime factorization of 9021

9021 = 3 x 31 x 97

Step 2: Find the prime factorization of 9027

9027 = 3 x 3 x 17 x 59

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9021 and 9027 is 3