Greatest Common Factor of 2408 and 2414

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 2408, 2414 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2408 and 2414 is 2.

GCF(2408,2414) = 2

GCF of 2408 and 2414

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

GCF of:
and

Greatest Common Factor of 2408 and 2414

GCF of 2408 and 2414 is 2

Prime Factorization of 2408


2 2408
2 1204
2 602
7 301
43 43
1

Prime factors of 2408 are 2,7,43. Prime factorization of 2408 in exponential form is:

2408 = 23×71×431

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

∴ So by taking common prime factors GCF of 2408 and 2414 is 2

Greatest Common Factor of 2408 and 2414 by matching factors method

Factors of 2408

List of positive integer factors of 2408 that divides 2408 without a remainder.

1,2,4,7,8,14,28,43,56,86,172,301,344,602,1204,2408

Factors of 2414

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

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

Greatest Common Factor

We found the factors and prime factorization of 2408 and 2414. The biggest common factor number is the GCF number.
So the greatest common factor 2408 and 2414 is 2.

Also check out the Least Common Multiple of 2408 and 2414

Properties of GCF 2408 and 2414

(i) The GCF of 2408 and 2414 is associative

GCF of 2408 and 2414 = GCF of 2414 and 2408

Related Greatest Common Factor of 2408

Related Greatest Common Factor of 2414

Frequently Asked Questions on GCF of 2408 and 2414

1. What is the GCF of 2408 and 2414?

Answer: GCF of 2408 and 2414 is 2.

2. What are the Factors of 2408?

Answer: Factors of 2408 are 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408. There are 16 integers that are factors of 2408. The greatest factor of 2408 is 2408.

3. 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.

4. How to Find the GCF of 2408 and 2414?

Answer:

Greatest Common Factor of 2408 and 2414 = 2

Step 1: Find the prime factorization of 2408

2408 = 2 x 2 x 2 x 7 x 43

Step 2: Find the prime factorization of 2414

2414 = 2 x 17 x 71

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 2408 and 2414 is 2