Greatest Common Factor of 477 and 483

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 477, 483 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 477 and 483 is 3.

GCF(477,483) = 3

GCF of 477 and 483

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

GCF of:
and

Greatest Common Factor of 477 and 483

GCF of 477 and 483 is 3

Prime Factorization of 477


3 477
3 159
53 53
1

Prime factors of 477 are 3,53. Prime factorization of 477 in exponential form is:

477 = 32×531

Prime Factorization of 483


3 483
7 161
23 23
1

Prime factors of 483 are 3,7,23. Prime factorization of 483 in exponential form is:

483 = 31×71×231

∴ So by taking common prime factors GCF of 477 and 483 is 3

Greatest Common Factor of 477 and 483 by matching factors method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors and prime factorization of 477 and 483. The biggest common factor number is the GCF number.
So the greatest common factor 477 and 483 is 3.

Also check out the Least Common Multiple of 477 and 483

Properties of GCF 477 and 483

(i) The GCF of 477 and 483 is associative

GCF of 477 and 483 = GCF of 483 and 477

Related Greatest Common Factor of 477

Related Greatest Common Factor of 483

Frequently Asked Questions on GCF of 477 and 483

1. What is the GCF of 477 and 483?

Answer: GCF of 477 and 483 is 3.

2. What are the Factors of 477?

Answer: Factors of 477 are 1, 3, 9, 53, 159, 477. There are 6 integers that are factors of 477. The greatest factor of 477 is 477.

3. What are the Factors of 483?

Answer: Factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483. There are 8 integers that are factors of 483. The greatest factor of 483 is 483.

4. How to Find the GCF of 477 and 483?

Answer:

Greatest Common Factor of 477 and 483 = 3

Step 1: Find the prime factorization of 477

477 = 3 x 3 x 53

Step 2: Find the prime factorization of 483

483 = 3 x 7 x 23

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 477 and 483 is 3