Greatest Common Factor of 2450 and 2456

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 2450, 2456 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2450 and 2456 is 2.

GCF(2450,2456) = 2

GCF of 2450 and 2456

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

GCF of:
and

Greatest Common Factor of 2450 and 2456

GCF of 2450 and 2456 is 2

Prime Factorization of 2450


2 2450
5 1225
5 245
7 49
7 7
1

Prime factors of 2450 are 2,5,7. Prime factorization of 2450 in exponential form is:

2450 = 21×52×72

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

∴ So by taking common prime factors GCF of 2450 and 2456 is 2

Greatest Common Factor of 2450 and 2456 by matching factors method

Factors of 2450

List of positive integer factors of 2450 that divides 2450 without a remainder.

1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450

Factors of 2456

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

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

Greatest Common Factor

We found the factors and prime factorization of 2450 and 2456. The biggest common factor number is the GCF number.
So the greatest common factor 2450 and 2456 is 2.

Also check out the Least Common Multiple of 2450 and 2456

Properties of GCF 2450 and 2456

(i) The GCF of 2450 and 2456 is associative

GCF of 2450 and 2456 = GCF of 2456 and 2450

Related Greatest Common Factor of 2450

Related Greatest Common Factor of 2456

Frequently Asked Questions on GCF of 2450 and 2456

1. What is the GCF of 2450 and 2456?

Answer: GCF of 2450 and 2456 is 2.

2. What are the Factors of 2450?

Answer: Factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450. There are 18 integers that are factors of 2450. The greatest factor of 2450 is 2450.

3. 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.

4. How to Find the GCF of 2450 and 2456?

Answer:

Greatest Common Factor of 2450 and 2456 = 2

Step 1: Find the prime factorization of 2450

2450 = 2 x 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 2456

2456 = 2 x 2 x 2 x 307

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2450 and 2456 is 2