Greatest Common Factor of 480 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 480, 483 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 480 and 483 is 3.

GCF(480,483) = 3

GCF of 480 and 483

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

GCF of:
and

Greatest Common Factor of 480 and 483

GCF of 480 and 483 is 3

Prime Factorization of 480


2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 480 are 2,3,5. Prime factorization of 480 in exponential form is:

480 = 25×31×51

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 480 and 483 is 3

Greatest Common Factor of 480 and 483 by matching factors method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

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 480 and 483. The biggest common factor number is the GCF number.
So the greatest common factor 480 and 483 is 3.

Also check out the Least Common Multiple of 480 and 483

Properties of GCF 480 and 483

(i) The GCF of 480 and 483 is associative

GCF of 480 and 483 = GCF of 483 and 480

Related Greatest Common Factor of 480

Related Greatest Common Factor of 483

Frequently Asked Questions on GCF of 480 and 483

1. What is the GCF of 480 and 483?

Answer: GCF of 480 and 483 is 3.

2. What are the Factors of 480?

Answer: Factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480. There are 24 integers that are factors of 480. The greatest factor of 480 is 480.

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 480 and 483?

Answer:

Greatest Common Factor of 480 and 483 = 3

Step 1: Find the prime factorization of 480

480 = 2 x 2 x 2 x 2 x 2 x 3 x 5

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 480 and 483 is 3