Greatest Common Factor of 2420 and 2424

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, 2424 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2420 and 2424 is 4.

GCF(2420,2424) = 4

GCF of 2420 and 2424

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

GCF of:
and

Greatest Common Factor of 2420 and 2424

GCF of 2420 and 2424 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 2424


2 2424
2 1212
2 606
3 303
101 101
1

Prime factors of 2424 are 2,3,101. Prime factorization of 2424 in exponential form is:

2424 = 23×31×1011

∴ So by taking common prime factors GCF of 2420 and 2424 is 4

Greatest Common Factor of 2420 and 2424 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 2424

List of positive integer factors of 2424 that divides 2424 without a remainder.

1,2,3,4,6,8,12,24,101,202,303,404,606,808,1212,2424

Greatest Common Factor

We found the factors and prime factorization of 2420 and 2424. The biggest common factor number is the GCF number.
So the greatest common factor 2420 and 2424 is 4.

Also check out the Least Common Multiple of 2420 and 2424

Properties of GCF 2420 and 2424

(i) The GCF of 2420 and 2424 is associative

GCF of 2420 and 2424 = GCF of 2424 and 2420

Related Greatest Common Factor of 2420

Related Greatest Common Factor of 2424

Frequently Asked Questions on GCF of 2420 and 2424

1. What is the GCF of 2420 and 2424?

Answer: GCF of 2420 and 2424 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 2424?

Answer: Factors of 2424 are 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424. There are 16 integers that are factors of 2424. The greatest factor of 2424 is 2424.

4. How to Find the GCF of 2420 and 2424?

Answer:

Greatest Common Factor of 2420 and 2424 = 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 2424

2424 = 2 x 2 x 2 x 3 x 101

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 2424 is 4