Greatest Common Factor of 480 and 484

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, 484 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 480 and 484 is 4.

GCF(480,484) = 4

GCF of 480 and 484

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

GCF of:
and

Greatest Common Factor of 480 and 484

GCF of 480 and 484 is 4

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 484


2 484
2 242
11 121
11 11
1

Prime factors of 484 are 2,11. Prime factorization of 484 in exponential form is:

484 = 22×112

∴ So by taking common prime factors GCF of 480 and 484 is 4

Greatest Common Factor of 480 and 484 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 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors and prime factorization of 480 and 484. The biggest common factor number is the GCF number.
So the greatest common factor 480 and 484 is 4.

Also check out the Least Common Multiple of 480 and 484

Properties of GCF 480 and 484

(i) The GCF of 480 and 484 is associative

GCF of 480 and 484 = GCF of 484 and 480

Related Greatest Common Factor of 480

Related Greatest Common Factor of 484

Frequently Asked Questions on GCF of 480 and 484

1. What is the GCF of 480 and 484?

Answer: GCF of 480 and 484 is 4.

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 484?

Answer: Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. There are 9 integers that are factors of 484. The greatest factor of 484 is 484.

4. How to Find the GCF of 480 and 484?

Answer:

Greatest Common Factor of 480 and 484 = 4

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 484

484 = 2 x 2 x 11 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 480 and 484 is 4