Greatest Common Factor of 2420 and 2428

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 2420, 2428 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2420 and 2428 is 4.

GCF(2420,2428) = 4

GCF of 2420 and 2428

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

GCF of:
and

Greatest Common Factor of 2420 and 2428

GCF of 2420 and 2428 is 4

Prime Factorization of 2420


2 2420
2 1210
5 605
11 121
11 11
1

Prime factors of 2420 are 2,5,11. Prime factorization of 2420 in exponential form is:

2420 = 22×51×112

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

∴ So by taking common prime factors GCF of 2420 and 2428 is 4

Greatest Common Factor of 2420 and 2428 by matching factors method

Factors of 2420

List of positive integer factors of 2420 that divides 2420 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,121,220,242,484,605,1210,2420

Factors of 2428

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

1,2,4,607,1214,2428

Greatest Common Factor

We found the factors and prime factorization of 2420 and 2428. The biggest common factor number is the GCF number.
So the greatest common factor 2420 and 2428 is 4.

Also check out the Least Common Multiple of 2420 and 2428

Properties of GCF 2420 and 2428

(i) The GCF of 2420 and 2428 is associative

GCF of 2420 and 2428 = GCF of 2428 and 2420

Related Greatest Common Factor of 2420

Related Greatest Common Factor of 2428

Frequently Asked Questions on GCF of 2420 and 2428

1. What is the GCF of 2420 and 2428?

Answer: GCF of 2420 and 2428 is 4.

2. What are the Factors of 2420?

Answer: Factors of 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420. There are 18 integers that are factors of 2420. The greatest factor of 2420 is 2420.

3. 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.

4. How to Find the GCF of 2420 and 2428?

Answer:

Greatest Common Factor of 2420 and 2428 = 4

Step 1: Find the prime factorization of 2420

2420 = 2 x 2 x 5 x 11 x 11

Step 2: Find the prime factorization of 2428

2428 = 2 x 2 x 607

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 2420 and 2428 is 4