Greatest Common Factor of 441 and 444

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 441, 444 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 441 and 444 is 3.

GCF(441,444) = 3

GCF of 441 and 444

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

GCF of:
and

Greatest Common Factor of 441 and 444

GCF of 441 and 444 is 3

Prime Factorization of 441


3 441
3 147
7 49
7 7
1

Prime factors of 441 are 3,7. Prime factorization of 441 in exponential form is:

441 = 32×72

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

∴ So by taking common prime factors GCF of 441 and 444 is 3

Greatest Common Factor of 441 and 444 by matching factors method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

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

Greatest Common Factor

We found the factors and prime factorization of 441 and 444. The biggest common factor number is the GCF number.
So the greatest common factor 441 and 444 is 3.

Also check out the Least Common Multiple of 441 and 444

Properties of GCF 441 and 444

(i) The GCF of 441 and 444 is associative

GCF of 441 and 444 = GCF of 444 and 441

Related Greatest Common Factor of 441

Related Greatest Common Factor of 444

Frequently Asked Questions on GCF of 441 and 444

1. What is the GCF of 441 and 444?

Answer: GCF of 441 and 444 is 3.

2. What are the Factors of 441?

Answer: Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. There are 9 integers that are factors of 441. The greatest factor of 441 is 441.

3. 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.

4. How to Find the GCF of 441 and 444?

Answer:

Greatest Common Factor of 441 and 444 = 3

Step 1: Find the prime factorization of 441

441 = 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

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

GCF = 3

Step 4: Therefore, the greatest common factor of 441 and 444 is 3