Greatest Common Factor of 2414 and 2421

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, 2421 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2414 and 2421 is 1.

GCF(2414,2421) = 1

GCF of 2414 and 2421

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

GCF of:
and

Greatest Common Factor of 2414 and 2421

GCF of 2414 and 2421 is 1

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 2421


3 2421
3 807
269 269
1

Prime factors of 2421 are 3,269. Prime factorization of 2421 in exponential form is:

2421 = 32×2691

∴ So by taking common prime factors GCF of 2414 and 2421 is 1

Greatest Common Factor of 2414 and 2421 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 2421

List of positive integer factors of 2421 that divides 2421 without a remainder.

1,3,9,269,807,2421

Greatest Common Factor

We found the factors and prime factorization of 2414 and 2421. The biggest common factor number is the GCF number.
So the greatest common factor 2414 and 2421 is 1.

Also check out the Least Common Multiple of 2414 and 2421

Properties of GCF 2414 and 2421

(i) The GCF of 2414 and 2421 is associative

GCF of 2414 and 2421 = GCF of 2421 and 2414

Related Greatest Common Factor of 2414

Related Greatest Common Factor of 2421

Frequently Asked Questions on GCF of 2414 and 2421

1. What is the GCF of 2414 and 2421?

Answer: GCF of 2414 and 2421 is 1.

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 2421?

Answer: Factors of 2421 are 1, 3, 9, 269, 807, 2421. There are 6 integers that are factors of 2421. The greatest factor of 2421 is 2421.

4. How to Find the GCF of 2414 and 2421?

Answer:

Greatest Common Factor of 2414 and 2421 = 1

Step 1: Find the prime factorization of 2414

2414 = 2 x 17 x 71

Step 2: Find the prime factorization of 2421

2421 = 3 x 3 x 269

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 2414 and 2421 is 1