Greatest Common Factor of 2448 and 2450

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 2448, 2450 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2448 and 2450 is 2.

GCF(2448,2450) = 2

GCF of 2448 and 2450

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

GCF of:
and

Greatest Common Factor of 2448 and 2450

GCF of 2448 and 2450 is 2

Prime Factorization of 2448


2 2448
2 1224
2 612
2 306
3 153
3 51
17 17
1

Prime factors of 2448 are 2,3,17. Prime factorization of 2448 in exponential form is:

2448 = 24×32×171

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

∴ So by taking common prime factors GCF of 2448 and 2450 is 2

Greatest Common Factor of 2448 and 2450 by matching factors method

Factors of 2448

List of positive integer factors of 2448 that divides 2448 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,34,36,48,51,68,72,102,136,144,153,204,272,306,408,612,816,1224,2448

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

Greatest Common Factor

We found the factors and prime factorization of 2448 and 2450. The biggest common factor number is the GCF number.
So the greatest common factor 2448 and 2450 is 2.

Also check out the Least Common Multiple of 2448 and 2450

Properties of GCF 2448 and 2450

(i) The GCF of 2448 and 2450 is associative

GCF of 2448 and 2450 = GCF of 2450 and 2448

Related Greatest Common Factor of 2448

Related Greatest Common Factor of 2450

Frequently Asked Questions on GCF of 2448 and 2450

1. What is the GCF of 2448 and 2450?

Answer: GCF of 2448 and 2450 is 2.

2. What are the Factors of 2448?

Answer: Factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448. There are 30 integers that are factors of 2448. The greatest factor of 2448 is 2448.

3. 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.

4. How to Find the GCF of 2448 and 2450?

Answer:

Greatest Common Factor of 2448 and 2450 = 2

Step 1: Find the prime factorization of 2448

2448 = 2 x 2 x 2 x 2 x 3 x 3 x 17

Step 2: Find the prime factorization of 2450

2450 = 2 x 5 x 5 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 = 2

Step 4: Therefore, the greatest common factor of 2448 and 2450 is 2