Greatest Common Factor of 2028 and 2031

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 2028, 2031 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2028 and 2031 is 3.

GCF(2028,2031) = 3

GCF of 2028 and 2031

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

GCF of:
and

Greatest Common Factor of 2028 and 2031

GCF of 2028 and 2031 is 3

Prime Factorization of 2028


2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 2028 are 2,3,13. Prime factorization of 2028 in exponential form is:

2028 = 22×31×132

Prime Factorization of 2031


3 2031
677 677
1

Prime factors of 2031 are 3,677. Prime factorization of 2031 in exponential form is:

2031 = 31×6771

∴ So by taking common prime factors GCF of 2028 and 2031 is 3

Greatest Common Factor of 2028 and 2031 by matching factors method

Factors of 2028

List of positive integer factors of 2028 that divides 2028 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156,169,338,507,676,1014,2028

Factors of 2031

List of positive integer factors of 2031 that divides 2031 without a remainder.

1,3,677,2031

Greatest Common Factor

We found the factors and prime factorization of 2028 and 2031. The biggest common factor number is the GCF number.
So the greatest common factor 2028 and 2031 is 3.

Also check out the Least Common Multiple of 2028 and 2031

Properties of GCF 2028 and 2031

(i) The GCF of 2028 and 2031 is associative

GCF of 2028 and 2031 = GCF of 2031 and 2028

Related Greatest Common Factor of 2028

Related Greatest Common Factor of 2031

Frequently Asked Questions on GCF of 2028 and 2031

1. What is the GCF of 2028 and 2031?

Answer: GCF of 2028 and 2031 is 3.

2. What are the Factors of 2028?

Answer: Factors of 2028 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028. There are 18 integers that are factors of 2028. The greatest factor of 2028 is 2028.

3. What are the Factors of 2031?

Answer: Factors of 2031 are 1, 3, 677, 2031. There are 4 integers that are factors of 2031. The greatest factor of 2031 is 2031.

4. How to Find the GCF of 2028 and 2031?

Answer:

Greatest Common Factor of 2028 and 2031 = 3

Step 1: Find the prime factorization of 2028

2028 = 2 x 2 x 3 x 13 x 13

Step 2: Find the prime factorization of 2031

2031 = 3 x 677

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 2028 and 2031 is 3