Greatest Common Factor of 2394 and 2401

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 2394, 2401 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2394 and 2401 is 7.

GCF(2394,2401) = 7

GCF of 2394 and 2401

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

GCF of:
and

Greatest Common Factor of 2394 and 2401

GCF of 2394 and 2401 is 7

Prime Factorization of 2394


2 2394
3 1197
3 399
7 133
19 19
1

Prime factors of 2394 are 2,3,7,19. Prime factorization of 2394 in exponential form is:

2394 = 21×32×71×191

Prime Factorization of 2401


7 2401
7 343
7 49
7 7
1

Prime factors of 2401 are 7. Prime factorization of 2401 in exponential form is:

2401 = 74

∴ So by taking common prime factors GCF of 2394 and 2401 is 7

Greatest Common Factor of 2394 and 2401 by matching factors method

Factors of 2394

List of positive integer factors of 2394 that divides 2394 without a remainder.

1,2,3,6,7,9,14,18,19,21,38,42,57,63,114,126,133,171,266,342,399,798,1197,2394

Factors of 2401

List of positive integer factors of 2401 that divides 2401 without a remainder.

1,7,49,343,2401

Greatest Common Factor

We found the factors and prime factorization of 2394 and 2401. The biggest common factor number is the GCF number.
So the greatest common factor 2394 and 2401 is 7.

Also check out the Least Common Multiple of 2394 and 2401

Properties of GCF 2394 and 2401

(i) The GCF of 2394 and 2401 is associative

GCF of 2394 and 2401 = GCF of 2401 and 2394

Related Greatest Common Factor of 2394

Related Greatest Common Factor of 2401

Frequently Asked Questions on GCF of 2394 and 2401

1. What is the GCF of 2394 and 2401?

Answer: GCF of 2394 and 2401 is 7.

2. What are the Factors of 2394?

Answer: Factors of 2394 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197, 2394. There are 24 integers that are factors of 2394. The greatest factor of 2394 is 2394.

3. What are the Factors of 2401?

Answer: Factors of 2401 are 1, 7, 49, 343, 2401. There are 5 integers that are factors of 2401. The greatest factor of 2401 is 2401.

4. How to Find the GCF of 2394 and 2401?

Answer:

Greatest Common Factor of 2394 and 2401 = 7

Step 1: Find the prime factorization of 2394

2394 = 2 x 3 x 3 x 7 x 19

Step 2: Find the prime factorization of 2401

2401 = 7 x 7 x 7 x 7

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 2394 and 2401 is 7