Greatest Common Factor of 30024 and 30028

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 30024, 30028 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 30024 and 30028 is 4.

GCF(30024,30028) = 4

GCF of 30024 and 30028

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

GCF of:
and

Greatest Common Factor of 30024 and 30028

GCF of 30024 and 30028 is 4

Prime Factorization of 30024


2 30024
2 15012
2 7506
3 3753
3 1251
3 417
139 139
1

Prime factors of 30024 are 2,3,139. Prime factorization of 30024 in exponential form is:

30024 = 23×33×1391

Prime Factorization of 30028


2 30028
2 15014
7507 7507
1

Prime factors of 30028 are 2,7507. Prime factorization of 30028 in exponential form is:

30028 = 22×75071

∴ So by taking common prime factors GCF of 30024 and 30028 is 4

Greatest Common Factor of 30024 and 30028 by matching factors method

Factors of 30024

List of positive integer factors of 30024 that divides 30024 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,139,216,278,417,556,834,1112,1251,1668,2502,3336,3753,5004,7506,10008,15012,30024

Factors of 30028

List of positive integer factors of 30028 that divides 30028 without a remainder.

1,2,4,7507,15014,30028

Greatest Common Factor

We found the factors and prime factorization of 30024 and 30028. The biggest common factor number is the GCF number.
So the greatest common factor 30024 and 30028 is 4.

Also check out the Least Common Multiple of 30024 and 30028

Properties of GCF 30024 and 30028

(i) The GCF of 30024 and 30028 is associative

GCF of 30024 and 30028 = GCF of 30028 and 30024

Related Greatest Common Factor of 30024

Related Greatest Common Factor of 30028

Frequently Asked Questions on GCF of 30024 and 30028

1. What is the GCF of 30024 and 30028?

Answer: GCF of 30024 and 30028 is 4.

2. What are the Factors of 30024?

Answer: Factors of 30024 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 139, 216, 278, 417, 556, 834, 1112, 1251, 1668, 2502, 3336, 3753, 5004, 7506, 10008, 15012, 30024. There are 32 integers that are factors of 30024. The greatest factor of 30024 is 30024.

3. What are the Factors of 30028?

Answer: Factors of 30028 are 1, 2, 4, 7507, 15014, 30028. There are 6 integers that are factors of 30028. The greatest factor of 30028 is 30028.

4. How to Find the GCF of 30024 and 30028?

Answer:

Greatest Common Factor of 30024 and 30028 = 4

Step 1: Find the prime factorization of 30024

30024 = 2 x 2 x 2 x 3 x 3 x 3 x 139

Step 2: Find the prime factorization of 30028

30028 = 2 x 2 x 7507

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 30024 and 30028 is 4