Greatest Common Factor of 480 and 486

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, 486 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 480 and 486 is 6.

GCF(480,486) = 6

GCF of 480 and 486

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

GCF of:
and

Greatest Common Factor of 480 and 486

GCF of 480 and 486 is 6

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 486


2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 486 are 2,3. Prime factorization of 486 in exponential form is:

486 = 21×35

∴ So by taking common prime factors GCF of 480 and 486 is 6

Greatest Common Factor of 480 and 486 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 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors and prime factorization of 480 and 486. The biggest common factor number is the GCF number.
So the greatest common factor 480 and 486 is 6.

Also check out the Least Common Multiple of 480 and 486

Properties of GCF 480 and 486

(i) The GCF of 480 and 486 is associative

GCF of 480 and 486 = GCF of 486 and 480

Related Greatest Common Factor of 480

Related Greatest Common Factor of 486

Frequently Asked Questions on GCF of 480 and 486

1. What is the GCF of 480 and 486?

Answer: GCF of 480 and 486 is 6.

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 486?

Answer: Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486. There are 12 integers that are factors of 486. The greatest factor of 486 is 486.

4. How to Find the GCF of 480 and 486?

Answer:

Greatest Common Factor of 480 and 486 = 6

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 486

486 = 2 x 3 x 3 x 3 x 3 x 3

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 480 and 486 is 6