Greatest Common Factor of 441 and 447

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

Greatest common factor (GCF) of 441 and 447 is 3.

GCF(441,447) = 3

GCF of 441 and 447

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

GCF of:
and

Greatest Common Factor of 441 and 447

GCF of 441 and 447 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 447


3 447
149 149
1

Prime factors of 447 are 3,149. Prime factorization of 447 in exponential form is:

447 = 31×1491

∴ So by taking common prime factors GCF of 441 and 447 is 3

Greatest Common Factor of 441 and 447 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 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors and prime factorization of 441 and 447. The biggest common factor number is the GCF number.
So the greatest common factor 441 and 447 is 3.

Also check out the Least Common Multiple of 441 and 447

Properties of GCF 441 and 447

(i) The GCF of 441 and 447 is associative

GCF of 441 and 447 = GCF of 447 and 441

Related Greatest Common Factor of 441

Related Greatest Common Factor of 447

Frequently Asked Questions on GCF of 441 and 447

1. What is the GCF of 441 and 447?

Answer: GCF of 441 and 447 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 447?

Answer: Factors of 447 are 1, 3, 149, 447. There are 4 integers that are factors of 447. The greatest factor of 447 is 447.

4. How to Find the GCF of 441 and 447?

Answer:

Greatest Common Factor of 441 and 447 = 3

Step 1: Find the prime factorization of 441

441 = 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 447

447 = 3 x 149

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 447 is 3