Greatest Common Factor of 4467 and 4473

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 4467, 4473 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4467 and 4473 is 3.

GCF(4467,4473) = 3

GCF of 4467 and 4473

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

GCF of:
and

Greatest Common Factor of 4467 and 4473

GCF of 4467 and 4473 is 3

Prime Factorization of 4467


3 4467
1489 1489
1

Prime factors of 4467 are 3,1489. Prime factorization of 4467 in exponential form is:

4467 = 31×14891

Prime Factorization of 4473


3 4473
3 1491
7 497
71 71
1

Prime factors of 4473 are 3,7,71. Prime factorization of 4473 in exponential form is:

4473 = 32×71×711

∴ So by taking common prime factors GCF of 4467 and 4473 is 3

Greatest Common Factor of 4467 and 4473 by matching factors method

Factors of 4467

List of positive integer factors of 4467 that divides 4467 without a remainder.

1,3,1489,4467

Factors of 4473

List of positive integer factors of 4473 that divides 4473 without a remainder.

1,3,7,9,21,63,71,213,497,639,1491,4473

Greatest Common Factor

We found the factors and prime factorization of 4467 and 4473. The biggest common factor number is the GCF number.
So the greatest common factor 4467 and 4473 is 3.

Also check out the Least Common Multiple of 4467 and 4473

Properties of GCF 4467 and 4473

(i) The GCF of 4467 and 4473 is associative

GCF of 4467 and 4473 = GCF of 4473 and 4467

Related Greatest Common Factor of 4467

Related Greatest Common Factor of 4473

Frequently Asked Questions on GCF of 4467 and 4473

1. What is the GCF of 4467 and 4473?

Answer: GCF of 4467 and 4473 is 3.

2. What are the Factors of 4467?

Answer: Factors of 4467 are 1, 3, 1489, 4467. There are 4 integers that are factors of 4467. The greatest factor of 4467 is 4467.

3. What are the Factors of 4473?

Answer: Factors of 4473 are 1, 3, 7, 9, 21, 63, 71, 213, 497, 639, 1491, 4473. There are 12 integers that are factors of 4473. The greatest factor of 4473 is 4473.

4. How to Find the GCF of 4467 and 4473?

Answer:

Greatest Common Factor of 4467 and 4473 = 3

Step 1: Find the prime factorization of 4467

4467 = 3 x 1489

Step 2: Find the prime factorization of 4473

4473 = 3 x 3 x 7 x 71

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 4467 and 4473 is 3