Greatest Common Factor of 4473 and 4479

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 4473, 4479 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4473 and 4479 is 3.

GCF(4473,4479) = 3

GCF of 4473 and 4479

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

GCF of:
and

Greatest Common Factor of 4473 and 4479

GCF of 4473 and 4479 is 3

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

Prime Factorization of 4479


3 4479
1493 1493
1

Prime factors of 4479 are 3,1493. Prime factorization of 4479 in exponential form is:

4479 = 31×14931

∴ So by taking common prime factors GCF of 4473 and 4479 is 3

Greatest Common Factor of 4473 and 4479 by matching factors method

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

Factors of 4479

List of positive integer factors of 4479 that divides 4479 without a remainder.

1,3,1493,4479

Greatest Common Factor

We found the factors and prime factorization of 4473 and 4479. The biggest common factor number is the GCF number.
So the greatest common factor 4473 and 4479 is 3.

Also check out the Least Common Multiple of 4473 and 4479

Properties of GCF 4473 and 4479

(i) The GCF of 4473 and 4479 is associative

GCF of 4473 and 4479 = GCF of 4479 and 4473

Frequently Asked Questions on GCF of 4473 and 4479

1. What is the GCF of 4473 and 4479?

Answer: GCF of 4473 and 4479 is 3.

2. 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.

3. What are the Factors of 4479?

Answer: Factors of 4479 are 1, 3, 1493, 4479. There are 4 integers that are factors of 4479. The greatest factor of 4479 is 4479.

4. How to Find the GCF of 4473 and 4479?

Answer:

Greatest Common Factor of 4473 and 4479 = 3

Step 1: Find the prime factorization of 4473

4473 = 3 x 3 x 7 x 71

Step 2: Find the prime factorization of 4479

4479 = 3 x 1493

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 4473 and 4479 is 3