Greatest Common Factor of 8028 and 8030

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 8028, 8030 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8028 and 8030 is 2.

GCF(8028,8030) = 2

GCF of 8028 and 8030

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

GCF of:
and

Greatest Common Factor of 8028 and 8030

GCF of 8028 and 8030 is 2

Prime Factorization of 8028


2 8028
2 4014
3 2007
3 669
223 223
1

Prime factors of 8028 are 2,3,223. Prime factorization of 8028 in exponential form is:

8028 = 22×32×2231

Prime Factorization of 8030


2 8030
5 4015
11 803
73 73
1

Prime factors of 8030 are 2,5,11,73. Prime factorization of 8030 in exponential form is:

8030 = 21×51×111×731

∴ So by taking common prime factors GCF of 8028 and 8030 is 2

Greatest Common Factor of 8028 and 8030 by matching factors method

Factors of 8028

List of positive integer factors of 8028 that divides 8028 without a remainder.

1,2,3,4,6,9,12,18,36,223,446,669,892,1338,2007,2676,4014,8028

Factors of 8030

List of positive integer factors of 8030 that divides 8030 without a remainder.

1,2,5,10,11,22,55,73,110,146,365,730,803,1606,4015,8030

Greatest Common Factor

We found the factors and prime factorization of 8028 and 8030. The biggest common factor number is the GCF number.
So the greatest common factor 8028 and 8030 is 2.

Also check out the Least Common Multiple of 8028 and 8030

Properties of GCF 8028 and 8030

(i) The GCF of 8028 and 8030 is associative

GCF of 8028 and 8030 = GCF of 8030 and 8028

Related Greatest Common Factor of 8028

Related Greatest Common Factor of 8030

Frequently Asked Questions on GCF of 8028 and 8030

1. What is the GCF of 8028 and 8030?

Answer: GCF of 8028 and 8030 is 2.

2. What are the Factors of 8028?

Answer: Factors of 8028 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028. There are 18 integers that are factors of 8028. The greatest factor of 8028 is 8028.

3. What are the Factors of 8030?

Answer: Factors of 8030 are 1, 2, 5, 10, 11, 22, 55, 73, 110, 146, 365, 730, 803, 1606, 4015, 8030. There are 16 integers that are factors of 8030. The greatest factor of 8030 is 8030.

4. How to Find the GCF of 8028 and 8030?

Answer:

Greatest Common Factor of 8028 and 8030 = 2

Step 1: Find the prime factorization of 8028

8028 = 2 x 2 x 3 x 3 x 223

Step 2: Find the prime factorization of 8030

8030 = 2 x 5 x 11 x 73

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 8028 and 8030 is 2