Greatest Common Factor of 459 and 467

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 459, 467 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 459 and 467 is 1.

GCF(459,467) = 1

GCF of 459 and 467

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

GCF of:
and

Greatest Common Factor of 459 and 467

GCF of 459 and 467 is 1

Prime Factorization of 459


3 459
3 153
3 51
17 17
1

Prime factors of 459 are 3,17. Prime factorization of 459 in exponential form is:

459 = 33×171

Prime Factorization of 467


467 467
1

Prime factors of 467 are 467. Prime factorization of 467 in exponential form is:

467 = 4671

∴ So by taking common prime factors GCF of 459 and 467 is 1

Greatest Common Factor of 459 and 467 by matching factors method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors and prime factorization of 459 and 467. The biggest common factor number is the GCF number.
So the greatest common factor 459 and 467 is 1.

Also check out the Least Common Multiple of 459 and 467

Properties of GCF 459 and 467

(i) The GCF of 459 and 467 is associative

GCF of 459 and 467 = GCF of 467 and 459

Related Greatest Common Factor of 459

Related Greatest Common Factor of 467

Frequently Asked Questions on GCF of 459 and 467

1. What is the GCF of 459 and 467?

Answer: GCF of 459 and 467 is 1.

2. What are the Factors of 459?

Answer: Factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459. There are 8 integers that are factors of 459. The greatest factor of 459 is 459.

3. What are the Factors of 467?

Answer: Factors of 467 are 1, 467. There are 2 integers that are factors of 467. The greatest factor of 467 is 467.

4. How to Find the GCF of 459 and 467?

Answer:

Greatest Common Factor of 459 and 467 = 1

Step 1: Find the prime factorization of 459

459 = 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 467

467 = 467

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 459 and 467 is 1