Greatest Common Factor of 484 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 484, 486 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 484 and 486 is 2.

GCF(484,486) = 2

GCF of 484 and 486

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

GCF of:
and

Greatest Common Factor of 484 and 486

GCF of 484 and 486 is 2

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

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 484 and 486 is 2

Greatest Common Factor of 484 and 486 by matching factors method

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

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 484 and 486. The biggest common factor number is the GCF number.
So the greatest common factor 484 and 486 is 2.

Also check out the Least Common Multiple of 484 and 486

Properties of GCF 484 and 486

(i) The GCF of 484 and 486 is associative

GCF of 484 and 486 = GCF of 486 and 484

Related Greatest Common Factor of 484

Related Greatest Common Factor of 486

Frequently Asked Questions on GCF of 484 and 486

1. What is the GCF of 484 and 486?

Answer: GCF of 484 and 486 is 2.

2. 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.

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 484 and 486?

Answer:

Greatest Common Factor of 484 and 486 = 2

Step 1: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

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

Step 4: Therefore, the greatest common factor of 484 and 486 is 2