Greatest Common Factor of 2420 and 2426

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, 2426 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2420 and 2426 is 2.

GCF(2420,2426) = 2

GCF of 2420 and 2426

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

GCF of:
and

Greatest Common Factor of 2420 and 2426

GCF of 2420 and 2426 is 2

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 2426


2 2426
1213 1213
1

Prime factors of 2426 are 2,1213. Prime factorization of 2426 in exponential form is:

2426 = 21×12131

∴ So by taking common prime factors GCF of 2420 and 2426 is 2

Greatest Common Factor of 2420 and 2426 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 2426

List of positive integer factors of 2426 that divides 2426 without a remainder.

1,2,1213,2426

Greatest Common Factor

We found the factors and prime factorization of 2420 and 2426. The biggest common factor number is the GCF number.
So the greatest common factor 2420 and 2426 is 2.

Also check out the Least Common Multiple of 2420 and 2426

Properties of GCF 2420 and 2426

(i) The GCF of 2420 and 2426 is associative

GCF of 2420 and 2426 = GCF of 2426 and 2420

Related Greatest Common Factor of 2420

Related Greatest Common Factor of 2426

Frequently Asked Questions on GCF of 2420 and 2426

1. What is the GCF of 2420 and 2426?

Answer: GCF of 2420 and 2426 is 2.

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 2426?

Answer: Factors of 2426 are 1, 2, 1213, 2426. There are 4 integers that are factors of 2426. The greatest factor of 2426 is 2426.

4. How to Find the GCF of 2420 and 2426?

Answer:

Greatest Common Factor of 2420 and 2426 = 2

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 2426

2426 = 2 x 1213

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 2420 and 2426 is 2