Greatest Common Factor of 2450 and 2457

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, 2457 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2450 and 2457 is 7.

GCF(2450,2457) = 7

GCF of 2450 and 2457

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

GCF of:
and

Greatest Common Factor of 2450 and 2457

GCF of 2450 and 2457 is 7

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 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

∴ So by taking common prime factors GCF of 2450 and 2457 is 7

Greatest Common Factor of 2450 and 2457 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 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

Greatest Common Factor

We found the factors and prime factorization of 2450 and 2457. The biggest common factor number is the GCF number.
So the greatest common factor 2450 and 2457 is 7.

Also check out the Least Common Multiple of 2450 and 2457

Properties of GCF 2450 and 2457

(i) The GCF of 2450 and 2457 is associative

GCF of 2450 and 2457 = GCF of 2457 and 2450

Related Greatest Common Factor of 2450

Related Greatest Common Factor of 2457

Frequently Asked Questions on GCF of 2450 and 2457

1. What is the GCF of 2450 and 2457?

Answer: GCF of 2450 and 2457 is 7.

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 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.

4. How to Find the GCF of 2450 and 2457?

Answer:

Greatest Common Factor of 2450 and 2457 = 7

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 2457

2457 = 3 x 3 x 3 x 7 x 13

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 2450 and 2457 is 7