Greatest Common Factor of 474 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 474, 480 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 474 and 480 is 6.

GCF(474,480) = 6

GCF of 474 and 480

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

GCF of:
and

Greatest Common Factor of 474 and 480

GCF of 474 and 480 is 6

Prime Factorization of 474


2 474
3 237
79 79
1

Prime factors of 474 are 2,3,79. Prime factorization of 474 in exponential form is:

474 = 21×31×791

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 474 and 480 is 6

Greatest Common Factor of 474 and 480 by matching factors method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

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 474 and 480. The biggest common factor number is the GCF number.
So the greatest common factor 474 and 480 is 6.

Also check out the Least Common Multiple of 474 and 480

Properties of GCF 474 and 480

(i) The GCF of 474 and 480 is associative

GCF of 474 and 480 = GCF of 480 and 474

Related Greatest Common Factor of 474

Related Greatest Common Factor of 480

Frequently Asked Questions on GCF of 474 and 480

1. What is the GCF of 474 and 480?

Answer: GCF of 474 and 480 is 6.

2. What are the Factors of 474?

Answer: Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. There are 8 integers that are factors of 474. The greatest factor of 474 is 474.

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 474 and 480?

Answer:

Greatest Common Factor of 474 and 480 = 6

Step 1: Find the prime factorization of 474

474 = 2 x 3 x 79

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 3 = 6

Step 4: Therefore, the greatest common factor of 474 and 480 is 6