Greatest Common Factor of 2028 and 2032

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, 2032 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2028 and 2032 is 4.

GCF(2028,2032) = 4

GCF of 2028 and 2032

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

GCF of:
and

Greatest Common Factor of 2028 and 2032

GCF of 2028 and 2032 is 4

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 2032


2 2032
2 1016
2 508
2 254
127 127
1

Prime factors of 2032 are 2,127. Prime factorization of 2032 in exponential form is:

2032 = 24×1271

∴ So by taking common prime factors GCF of 2028 and 2032 is 4

Greatest Common Factor of 2028 and 2032 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 2032

List of positive integer factors of 2032 that divides 2032 without a remainder.

1,2,4,8,16,127,254,508,1016,2032

Greatest Common Factor

We found the factors and prime factorization of 2028 and 2032. The biggest common factor number is the GCF number.
So the greatest common factor 2028 and 2032 is 4.

Also check out the Least Common Multiple of 2028 and 2032

Properties of GCF 2028 and 2032

(i) The GCF of 2028 and 2032 is associative

GCF of 2028 and 2032 = GCF of 2032 and 2028

Related Greatest Common Factor of 2028

Related Greatest Common Factor of 2032

Frequently Asked Questions on GCF of 2028 and 2032

1. What is the GCF of 2028 and 2032?

Answer: GCF of 2028 and 2032 is 4.

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 2032?

Answer: Factors of 2032 are 1, 2, 4, 8, 16, 127, 254, 508, 1016, 2032. There are 10 integers that are factors of 2032. The greatest factor of 2032 is 2032.

4. How to Find the GCF of 2028 and 2032?

Answer:

Greatest Common Factor of 2028 and 2032 = 4

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 2032

2032 = 2 x 2 x 2 x 2 x 127

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 2028 and 2032 is 4