Greatest Common Factor of 476 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 476, 484 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 476 and 484 is 4.

GCF(476,484) = 4

GCF of 476 and 484

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

GCF of:
and

Greatest Common Factor of 476 and 484

GCF of 476 and 484 is 4

Prime Factorization of 476


2 476
2 238
7 119
17 17
1

Prime factors of 476 are 2,7,17. Prime factorization of 476 in exponential form is:

476 = 22×71×171

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 476 and 484 is 4

Greatest Common Factor of 476 and 484 by matching factors method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

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 476 and 484. The biggest common factor number is the GCF number.
So the greatest common factor 476 and 484 is 4.

Also check out the Least Common Multiple of 476 and 484

Properties of GCF 476 and 484

(i) The GCF of 476 and 484 is associative

GCF of 476 and 484 = GCF of 484 and 476

Related Greatest Common Factor of 476

Related Greatest Common Factor of 484

Frequently Asked Questions on GCF of 476 and 484

1. What is the GCF of 476 and 484?

Answer: GCF of 476 and 484 is 4.

2. What are the Factors of 476?

Answer: Factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476. There are 12 integers that are factors of 476. The greatest factor of 476 is 476.

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 476 and 484?

Answer:

Greatest Common Factor of 476 and 484 = 4

Step 1: Find the prime factorization of 476

476 = 2 x 2 x 7 x 17

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 476 and 484 is 4