Greatest Common Factor of 2457 and 2463

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 2457, 2463 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2457 and 2463 is 3.

GCF(2457,2463) = 3

GCF of 2457 and 2463

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

GCF of:
and

Greatest Common Factor of 2457 and 2463

GCF of 2457 and 2463 is 3

Prime Factorization of 2457


3 2457
3 819
3 273
7 91
13 13
1

Prime factors of 2457 are 3,7,13. Prime factorization of 2457 in exponential form is:

2457 = 33×71×131

Prime Factorization of 2463


3 2463
821 821
1

Prime factors of 2463 are 3,821. Prime factorization of 2463 in exponential form is:

2463 = 31×8211

∴ So by taking common prime factors GCF of 2457 and 2463 is 3

Greatest Common Factor of 2457 and 2463 by matching factors method

Factors of 2457

List of positive integer factors of 2457 that divides 2457 without a remainder.

1,3,7,9,13,21,27,39,63,91,117,189,273,351,819,2457

Factors of 2463

List of positive integer factors of 2463 that divides 2463 without a remainder.

1,3,821,2463

Greatest Common Factor

We found the factors and prime factorization of 2457 and 2463. The biggest common factor number is the GCF number.
So the greatest common factor 2457 and 2463 is 3.

Also check out the Least Common Multiple of 2457 and 2463

Properties of GCF 2457 and 2463

(i) The GCF of 2457 and 2463 is associative

GCF of 2457 and 2463 = GCF of 2463 and 2457

Related Greatest Common Factor of 2457

Related Greatest Common Factor of 2463

Frequently Asked Questions on GCF of 2457 and 2463

1. What is the GCF of 2457 and 2463?

Answer: GCF of 2457 and 2463 is 3.

2. What are the Factors of 2457?

Answer: Factors of 2457 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819, 2457. There are 16 integers that are factors of 2457. The greatest factor of 2457 is 2457.

3. What are the Factors of 2463?

Answer: Factors of 2463 are 1, 3, 821, 2463. There are 4 integers that are factors of 2463. The greatest factor of 2463 is 2463.

4. How to Find the GCF of 2457 and 2463?

Answer:

Greatest Common Factor of 2457 and 2463 = 3

Step 1: Find the prime factorization of 2457

2457 = 3 x 3 x 3 x 7 x 13

Step 2: Find the prime factorization of 2463

2463 = 3 x 821

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2457 and 2463 is 3