Greatest Common Factor of 476 and 480

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

Greatest common factor (GCF) of 476 and 480 is 4.

GCF(476,480) = 4

GCF of 476 and 480

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

GCF of:
and

Greatest Common Factor of 476 and 480

GCF of 476 and 480 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 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

∴ So by taking common prime factors GCF of 476 and 480 is 4

Greatest Common Factor of 476 and 480 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 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

Greatest Common Factor

We found the factors and prime factorization of 476 and 480. The biggest common factor number is the GCF number.
So the greatest common factor 476 and 480 is 4.

Also check out the Least Common Multiple of 476 and 480

Properties of GCF 476 and 480

(i) The GCF of 476 and 480 is associative

GCF of 476 and 480 = GCF of 480 and 476

Related Greatest Common Factor of 476

Related Greatest Common Factor of 480

Frequently Asked Questions on GCF of 476 and 480

1. What is the GCF of 476 and 480?

Answer: GCF of 476 and 480 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 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.

4. How to Find the GCF of 476 and 480?

Answer:

Greatest Common Factor of 476 and 480 = 4

Step 1: Find the prime factorization of 476

476 = 2 x 2 x 7 x 17

Step 2: Find the prime factorization of 480

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

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 480 is 4