Greatest Common Factor of 2456 and 2460

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 2456, 2460 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2456 and 2460 is 4.

GCF(2456,2460) = 4

GCF of 2456 and 2460

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

GCF of:
and

Greatest Common Factor of 2456 and 2460

GCF of 2456 and 2460 is 4

Prime Factorization of 2456


2 2456
2 1228
2 614
307 307
1

Prime factors of 2456 are 2,307. Prime factorization of 2456 in exponential form is:

2456 = 23×3071

Prime Factorization of 2460


2 2460
2 1230
3 615
5 205
41 41
1

Prime factors of 2460 are 2,3,5,41. Prime factorization of 2460 in exponential form is:

2460 = 22×31×51×411

∴ So by taking common prime factors GCF of 2456 and 2460 is 4

Greatest Common Factor of 2456 and 2460 by matching factors method

Factors of 2456

List of positive integer factors of 2456 that divides 2456 without a remainder.

1,2,4,8,307,614,1228,2456

Factors of 2460

List of positive integer factors of 2460 that divides 2460 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,41,60,82,123,164,205,246,410,492,615,820,1230,2460

Greatest Common Factor

We found the factors and prime factorization of 2456 and 2460. The biggest common factor number is the GCF number.
So the greatest common factor 2456 and 2460 is 4.

Also check out the Least Common Multiple of 2456 and 2460

Properties of GCF 2456 and 2460

(i) The GCF of 2456 and 2460 is associative

GCF of 2456 and 2460 = GCF of 2460 and 2456

Related Greatest Common Factor of 2456

Related Greatest Common Factor of 2460

Frequently Asked Questions on GCF of 2456 and 2460

1. What is the GCF of 2456 and 2460?

Answer: GCF of 2456 and 2460 is 4.

2. What are the Factors of 2456?

Answer: Factors of 2456 are 1, 2, 4, 8, 307, 614, 1228, 2456. There are 8 integers that are factors of 2456. The greatest factor of 2456 is 2456.

3. What are the Factors of 2460?

Answer: Factors of 2460 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460. There are 24 integers that are factors of 2460. The greatest factor of 2460 is 2460.

4. How to Find the GCF of 2456 and 2460?

Answer:

Greatest Common Factor of 2456 and 2460 = 4

Step 1: Find the prime factorization of 2456

2456 = 2 x 2 x 2 x 307

Step 2: Find the prime factorization of 2460

2460 = 2 x 2 x 3 x 5 x 41

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2456 and 2460 is 4