Greatest Common Factor of 2409 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 2409, 2414 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2409 and 2414 is 1.

GCF(2409,2414) = 1

GCF of 2409 and 2414

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

GCF of:
and

Greatest Common Factor of 2409 and 2414

GCF of 2409 and 2414 is 1

Prime Factorization of 2409


3 2409
11 803
73 73
1

Prime factors of 2409 are 3,11,73. Prime factorization of 2409 in exponential form is:

2409 = 31×111×731

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 2409 and 2414 is 1

Greatest Common Factor of 2409 and 2414 by matching factors method

Factors of 2409

List of positive integer factors of 2409 that divides 2409 without a remainder.

1,3,11,33,73,219,803,2409

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 2409 and 2414. The biggest common factor number is the GCF number.
So the greatest common factor 2409 and 2414 is 1.

Also check out the Least Common Multiple of 2409 and 2414

Properties of GCF 2409 and 2414

(i) The GCF of 2409 and 2414 is associative

GCF of 2409 and 2414 = GCF of 2414 and 2409

Related Greatest Common Factor of 2409

Related Greatest Common Factor of 2414

Frequently Asked Questions on GCF of 2409 and 2414

1. What is the GCF of 2409 and 2414?

Answer: GCF of 2409 and 2414 is 1.

2. What are the Factors of 2409?

Answer: Factors of 2409 are 1, 3, 11, 33, 73, 219, 803, 2409. There are 8 integers that are factors of 2409. The greatest factor of 2409 is 2409.

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 2409 and 2414?

Answer:

Greatest Common Factor of 2409 and 2414 = 1

Step 1: Find the prime factorization of 2409

2409 = 3 x 11 x 73

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 = = 1

Step 4: Therefore, the greatest common factor of 2409 and 2414 is 1