Greatest Common Factor of 478 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 478, 480 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 478 and 480 is 2.

GCF(478,480) = 2

GCF of 478 and 480

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

GCF of:
and

Greatest Common Factor of 478 and 480

GCF of 478 and 480 is 2

Prime Factorization of 478


2 478
239 239
1

Prime factors of 478 are 2,239. Prime factorization of 478 in exponential form is:

478 = 21×2391

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 478 and 480 is 2

Greatest Common Factor of 478 and 480 by matching factors method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

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 478 and 480. The biggest common factor number is the GCF number.
So the greatest common factor 478 and 480 is 2.

Also check out the Least Common Multiple of 478 and 480

Properties of GCF 478 and 480

(i) The GCF of 478 and 480 is associative

GCF of 478 and 480 = GCF of 480 and 478

Related Greatest Common Factor of 478

Related Greatest Common Factor of 480

Frequently Asked Questions on GCF of 478 and 480

1. What is the GCF of 478 and 480?

Answer: GCF of 478 and 480 is 2.

2. What are the Factors of 478?

Answer: Factors of 478 are 1, 2, 239, 478. There are 4 integers that are factors of 478. The greatest factor of 478 is 478.

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 478 and 480?

Answer:

Greatest Common Factor of 478 and 480 = 2

Step 1: Find the prime factorization of 478

478 = 2 x 239

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

Step 4: Therefore, the greatest common factor of 478 and 480 is 2