Greatest Common Factor of 4665 and 4671

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 4665, 4671 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4665 and 4671 is 3.

GCF(4665,4671) = 3

GCF of 4665 and 4671

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

GCF of:
and

Greatest Common Factor of 4665 and 4671

GCF of 4665 and 4671 is 3

Prime Factorization of 4665


3 4665
5 1555
311 311
1

Prime factors of 4665 are 3,5,311. Prime factorization of 4665 in exponential form is:

4665 = 31×51×3111

Prime Factorization of 4671


3 4671
3 1557
3 519
173 173
1

Prime factors of 4671 are 3,173. Prime factorization of 4671 in exponential form is:

4671 = 33×1731

∴ So by taking common prime factors GCF of 4665 and 4671 is 3

Greatest Common Factor of 4665 and 4671 by matching factors method

Factors of 4665

List of positive integer factors of 4665 that divides 4665 without a remainder.

1,3,5,15,311,933,1555,4665

Factors of 4671

List of positive integer factors of 4671 that divides 4671 without a remainder.

1,3,9,27,173,519,1557,4671

Greatest Common Factor

We found the factors and prime factorization of 4665 and 4671. The biggest common factor number is the GCF number.
So the greatest common factor 4665 and 4671 is 3.

Also check out the Least Common Multiple of 4665 and 4671

Properties of GCF 4665 and 4671

(i) The GCF of 4665 and 4671 is associative

GCF of 4665 and 4671 = GCF of 4671 and 4665

Related Greatest Common Factor of 4665

Related Greatest Common Factor of 4671

Frequently Asked Questions on GCF of 4665 and 4671

1. What is the GCF of 4665 and 4671?

Answer: GCF of 4665 and 4671 is 3.

2. What are the Factors of 4665?

Answer: Factors of 4665 are 1, 3, 5, 15, 311, 933, 1555, 4665. There are 8 integers that are factors of 4665. The greatest factor of 4665 is 4665.

3. What are the Factors of 4671?

Answer: Factors of 4671 are 1, 3, 9, 27, 173, 519, 1557, 4671. There are 8 integers that are factors of 4671. The greatest factor of 4671 is 4671.

4. How to Find the GCF of 4665 and 4671?

Answer:

Greatest Common Factor of 4665 and 4671 = 3

Step 1: Find the prime factorization of 4665

4665 = 3 x 5 x 311

Step 2: Find the prime factorization of 4671

4671 = 3 x 3 x 3 x 173

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

GCF = 3

Step 4: Therefore, the greatest common factor of 4665 and 4671 is 3