Greatest Common Factor of 2428 and 2430

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 2428, 2430 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2428 and 2430 is 2.

GCF(2428,2430) = 2

GCF of 2428 and 2430

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

GCF of:
and

Greatest Common Factor of 2428 and 2430

GCF of 2428 and 2430 is 2

Prime Factorization of 2428


2 2428
2 1214
607 607
1

Prime factors of 2428 are 2,607. Prime factorization of 2428 in exponential form is:

2428 = 22×6071

Prime Factorization of 2430


2 2430
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 2430 are 2,3,5. Prime factorization of 2430 in exponential form is:

2430 = 21×35×51

∴ So by taking common prime factors GCF of 2428 and 2430 is 2

Greatest Common Factor of 2428 and 2430 by matching factors method

Factors of 2428

List of positive integer factors of 2428 that divides 2428 without a remainder.

1,2,4,607,1214,2428

Factors of 2430

List of positive integer factors of 2430 that divides 2430 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,810,1215,2430

Greatest Common Factor

We found the factors and prime factorization of 2428 and 2430. The biggest common factor number is the GCF number.
So the greatest common factor 2428 and 2430 is 2.

Also check out the Least Common Multiple of 2428 and 2430

Properties of GCF 2428 and 2430

(i) The GCF of 2428 and 2430 is associative

GCF of 2428 and 2430 = GCF of 2430 and 2428

Related Greatest Common Factor of 2428

Related Greatest Common Factor of 2430

Frequently Asked Questions on GCF of 2428 and 2430

1. What is the GCF of 2428 and 2430?

Answer: GCF of 2428 and 2430 is 2.

2. What are the Factors of 2428?

Answer: Factors of 2428 are 1, 2, 4, 607, 1214, 2428. There are 6 integers that are factors of 2428. The greatest factor of 2428 is 2428.

3. What are the Factors of 2430?

Answer: Factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430. There are 24 integers that are factors of 2430. The greatest factor of 2430 is 2430.

4. How to Find the GCF of 2428 and 2430?

Answer:

Greatest Common Factor of 2428 and 2430 = 2

Step 1: Find the prime factorization of 2428

2428 = 2 x 2 x 607

Step 2: Find the prime factorization of 2430

2430 = 2 x 3 x 3 x 3 x 3 x 3 x 5

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 2428 and 2430 is 2