Greatest Common Factor of 450 and 458

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 450, 458 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 450 and 458 is 2.

GCF(450,458) = 2

GCF of 450 and 458

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

GCF of:
and

Greatest Common Factor of 450 and 458

GCF of 450 and 458 is 2

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

Prime Factorization of 458


2 458
229 229
1

Prime factors of 458 are 2,229. Prime factorization of 458 in exponential form is:

458 = 21×2291

∴ So by taking common prime factors GCF of 450 and 458 is 2

Greatest Common Factor of 450 and 458 by matching factors method

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

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors and prime factorization of 450 and 458. The biggest common factor number is the GCF number.
So the greatest common factor 450 and 458 is 2.

Also check out the Least Common Multiple of 450 and 458

Properties of GCF 450 and 458

(i) The GCF of 450 and 458 is associative

GCF of 450 and 458 = GCF of 458 and 450

Related Greatest Common Factor of 450

Related Greatest Common Factor of 458

Frequently Asked Questions on GCF of 450 and 458

1. What is the GCF of 450 and 458?

Answer: GCF of 450 and 458 is 2.

2. 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.

3. What are the Factors of 458?

Answer: Factors of 458 are 1, 2, 229, 458. There are 4 integers that are factors of 458. The greatest factor of 458 is 458.

4. How to Find the GCF of 450 and 458?

Answer:

Greatest Common Factor of 450 and 458 = 2

Step 1: Find the prime factorization of 450

450 = 2 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 458

458 = 2 x 229

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 450 and 458 is 2