Greatest Common Factor of 444 and 448

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, 448 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 444 and 448 is 4.

GCF(444,448) = 4

GCF of 444 and 448

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

GCF of:
and

Greatest Common Factor of 444 and 448

GCF of 444 and 448 is 4

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 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

∴ So by taking common prime factors GCF of 444 and 448 is 4

Greatest Common Factor of 444 and 448 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 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

Greatest Common Factor

We found the factors and prime factorization of 444 and 448. The biggest common factor number is the GCF number.
So the greatest common factor 444 and 448 is 4.

Also check out the Least Common Multiple of 444 and 448

Properties of GCF 444 and 448

(i) The GCF of 444 and 448 is associative

GCF of 444 and 448 = GCF of 448 and 444

Related Greatest Common Factor of 444

Related Greatest Common Factor of 448

Frequently Asked Questions on GCF of 444 and 448

1. What is the GCF of 444 and 448?

Answer: GCF of 444 and 448 is 4.

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 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.

4. How to Find the GCF of 444 and 448?

Answer:

Greatest Common Factor of 444 and 448 = 4

Step 1: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 448

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

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 444 and 448 is 4