Greatest Common Factor of 475 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 475, 480 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 475 and 480 is 5.

GCF(475,480) = 5

GCF of 475 and 480

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

GCF of:
and

Greatest Common Factor of 475 and 480

GCF of 475 and 480 is 5

Prime Factorization of 475


5 475
5 95
19 19
1

Prime factors of 475 are 5,19. Prime factorization of 475 in exponential form is:

475 = 52×191

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 475 and 480 is 5

Greatest Common Factor of 475 and 480 by matching factors method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

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 475 and 480. The biggest common factor number is the GCF number.
So the greatest common factor 475 and 480 is 5.

Also check out the Least Common Multiple of 475 and 480

Properties of GCF 475 and 480

(i) The GCF of 475 and 480 is associative

GCF of 475 and 480 = GCF of 480 and 475

Related Greatest Common Factor of 475

Related Greatest Common Factor of 480

Frequently Asked Questions on GCF of 475 and 480

1. What is the GCF of 475 and 480?

Answer: GCF of 475 and 480 is 5.

2. What are the Factors of 475?

Answer: Factors of 475 are 1, 5, 19, 25, 95, 475. There are 6 integers that are factors of 475. The greatest factor of 475 is 475.

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 475 and 480?

Answer:

Greatest Common Factor of 475 and 480 = 5

Step 1: Find the prime factorization of 475

475 = 5 x 5 x 19

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 = 5

Step 4: Therefore, the greatest common factor of 475 and 480 is 5