Greatest Common Factor of 480 and 487

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 480, 487 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 480 and 487 is 1.

GCF(480,487) = 1

GCF of 480 and 487

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

GCF of:
and

Greatest Common Factor of 480 and 487

GCF of 480 and 487 is 1

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

Prime Factorization of 487


487 487
1

Prime factors of 487 are 487. Prime factorization of 487 in exponential form is:

487 = 4871

∴ So by taking common prime factors GCF of 480 and 487 is 1

Greatest Common Factor of 480 and 487 by matching factors method

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

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Greatest Common Factor

We found the factors and prime factorization of 480 and 487. The biggest common factor number is the GCF number.
So the greatest common factor 480 and 487 is 1.

Also check out the Least Common Multiple of 480 and 487

Properties of GCF 480 and 487

(i) The GCF of 480 and 487 is associative

GCF of 480 and 487 = GCF of 487 and 480

Related Greatest Common Factor of 480

Related Greatest Common Factor of 487

Frequently Asked Questions on GCF of 480 and 487

1. What is the GCF of 480 and 487?

Answer: GCF of 480 and 487 is 1.

2. 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.

3. What are the Factors of 487?

Answer: Factors of 487 are 1, 487. There are 2 integers that are factors of 487. The greatest factor of 487 is 487.

4. How to Find the GCF of 480 and 487?

Answer:

Greatest Common Factor of 480 and 487 = 1

Step 1: Find the prime factorization of 480

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

Step 2: Find the prime factorization of 487

487 = 487

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 480 and 487 is 1