Greatest Common Factor of 444 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 444, 450 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 444 and 450 is 6.

GCF(444,450) = 6

GCF of 444 and 450

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

GCF of:
and

Greatest Common Factor of 444 and 450

GCF of 444 and 450 is 6

Prime Factorization of 444


2 444
2 222
3 111
37 37
1

Prime factors of 444 are 2,3,37. Prime factorization of 444 in exponential form is:

444 = 22×31×371

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 444 and 450 is 6

Greatest Common Factor of 444 and 450 by matching factors method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

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 444 and 450. The biggest common factor number is the GCF number.
So the greatest common factor 444 and 450 is 6.

Also check out the Least Common Multiple of 444 and 450

Properties of GCF 444 and 450

(i) The GCF of 444 and 450 is associative

GCF of 444 and 450 = GCF of 450 and 444

Related Greatest Common Factor of 444

Related Greatest Common Factor of 450

Frequently Asked Questions on GCF of 444 and 450

1. What is the GCF of 444 and 450?

Answer: GCF of 444 and 450 is 6.

2. What are the Factors of 444?

Answer: Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444. There are 12 integers that are factors of 444. The greatest factor of 444 is 444.

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 444 and 450?

Answer:

Greatest Common Factor of 444 and 450 = 6

Step 1: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

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 x 3 = 6

Step 4: Therefore, the greatest common factor of 444 and 450 is 6