Greatest Common Factor of 483 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 483, 487 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 483 and 487 is 1.

GCF(483,487) = 1

GCF of 483 and 487

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

GCF of:
and

Greatest Common Factor of 483 and 487

GCF of 483 and 487 is 1

Prime Factorization of 483


3 483
7 161
23 23
1

Prime factors of 483 are 3,7,23. Prime factorization of 483 in exponential form is:

483 = 31×71×231

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 483 and 487 is 1

Greatest Common Factor of 483 and 487 by matching factors method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

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 483 and 487. The biggest common factor number is the GCF number.
So the greatest common factor 483 and 487 is 1.

Also check out the Least Common Multiple of 483 and 487

Properties of GCF 483 and 487

(i) The GCF of 483 and 487 is associative

GCF of 483 and 487 = GCF of 487 and 483

Frequently Asked Questions on GCF of 483 and 487

1. What is the GCF of 483 and 487?

Answer: GCF of 483 and 487 is 1.

2. What are the Factors of 483?

Answer: Factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483. There are 8 integers that are factors of 483. The greatest factor of 483 is 483.

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 483 and 487?

Answer:

Greatest Common Factor of 483 and 487 = 1

Step 1: Find the prime factorization of 483

483 = 3 x 7 x 23

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 483 and 487 is 1