Greatest Common Factor of 448 and 450

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 448, 450 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 448 and 450 is 2.

GCF(448,450) = 2

GCF of 448 and 450

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

GCF of:
and

Greatest Common Factor of 448 and 450

GCF of 448 and 450 is 2

Prime Factorization of 448


2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 448 are 2,7. Prime factorization of 448 in exponential form is:

448 = 26×71

Prime Factorization of 450


2 450
3 225
3 75
5 25
5 5
1

Prime factors of 450 are 2,3,5. Prime factorization of 450 in exponential form is:

450 = 21×32×52

∴ So by taking common prime factors GCF of 448 and 450 is 2

Greatest Common Factor of 448 and 450 by matching factors method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors and prime factorization of 448 and 450. The biggest common factor number is the GCF number.
So the greatest common factor 448 and 450 is 2.

Also check out the Least Common Multiple of 448 and 450

Properties of GCF 448 and 450

(i) The GCF of 448 and 450 is associative

GCF of 448 and 450 = GCF of 450 and 448

Related Greatest Common Factor of 448

Related Greatest Common Factor of 450

Frequently Asked Questions on GCF of 448 and 450

1. What is the GCF of 448 and 450?

Answer: GCF of 448 and 450 is 2.

2. What are the Factors of 448?

Answer: Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448. There are 14 integers that are factors of 448. The greatest factor of 448 is 448.

3. What are the Factors of 450?

Answer: Factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450. There are 18 integers that are factors of 450. The greatest factor of 450 is 450.

4. How to Find the GCF of 448 and 450?

Answer:

Greatest Common Factor of 448 and 450 = 2

Step 1: Find the prime factorization of 448

448 = 2 x 2 x 2 x 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 450

450 = 2 x 3 x 3 x 5 x 5

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 448 and 450 is 2