Greatest Common Factor of 2414 and 2420

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 2414, 2420 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2414 and 2420 is 2.

GCF(2414,2420) = 2

GCF of 2414 and 2420

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

GCF of:
and

Greatest Common Factor of 2414 and 2420

GCF of 2414 and 2420 is 2

Prime Factorization of 2414


2 2414
17 1207
71 71
1

Prime factors of 2414 are 2,17,71. Prime factorization of 2414 in exponential form is:

2414 = 21×171×711

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

∴ So by taking common prime factors GCF of 2414 and 2420 is 2

Greatest Common Factor of 2414 and 2420 by matching factors method

Factors of 2414

List of positive integer factors of 2414 that divides 2414 without a remainder.

1,2,17,34,71,142,1207,2414

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

Greatest Common Factor

We found the factors and prime factorization of 2414 and 2420. The biggest common factor number is the GCF number.
So the greatest common factor 2414 and 2420 is 2.

Also check out the Least Common Multiple of 2414 and 2420

Properties of GCF 2414 and 2420

(i) The GCF of 2414 and 2420 is associative

GCF of 2414 and 2420 = GCF of 2420 and 2414

Related Greatest Common Factor of 2414

Related Greatest Common Factor of 2420

Frequently Asked Questions on GCF of 2414 and 2420

1. What is the GCF of 2414 and 2420?

Answer: GCF of 2414 and 2420 is 2.

2. What are the Factors of 2414?

Answer: Factors of 2414 are 1, 2, 17, 34, 71, 142, 1207, 2414. There are 8 integers that are factors of 2414. The greatest factor of 2414 is 2414.

3. 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.

4. How to Find the GCF of 2414 and 2420?

Answer:

Greatest Common Factor of 2414 and 2420 = 2

Step 1: Find the prime factorization of 2414

2414 = 2 x 17 x 71

Step 2: Find the prime factorization of 2420

2420 = 2 x 2 x 5 x 11 x 11

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 2414 and 2420 is 2