Greatest Common Factor of 4641 and 4647

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 4641, 4647 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4641 and 4647 is 3.

GCF(4641,4647) = 3

GCF of 4641 and 4647

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

GCF of:
and

Greatest Common Factor of 4641 and 4647

GCF of 4641 and 4647 is 3

Prime Factorization of 4641


3 4641
7 1547
13 221
17 17
1

Prime factors of 4641 are 3,7,13,17. Prime factorization of 4641 in exponential form is:

4641 = 31×71×131×171

Prime Factorization of 4647


3 4647
1549 1549
1

Prime factors of 4647 are 3,1549. Prime factorization of 4647 in exponential form is:

4647 = 31×15491

∴ So by taking common prime factors GCF of 4641 and 4647 is 3

Greatest Common Factor of 4641 and 4647 by matching factors method

Factors of 4641

List of positive integer factors of 4641 that divides 4641 without a remainder.

1,3,7,13,17,21,39,51,91,119,221,273,357,663,1547,4641

Factors of 4647

List of positive integer factors of 4647 that divides 4647 without a remainder.

1,3,1549,4647

Greatest Common Factor

We found the factors and prime factorization of 4641 and 4647. The biggest common factor number is the GCF number.
So the greatest common factor 4641 and 4647 is 3.

Also check out the Least Common Multiple of 4641 and 4647

Properties of GCF 4641 and 4647

(i) The GCF of 4641 and 4647 is associative

GCF of 4641 and 4647 = GCF of 4647 and 4641

Related Greatest Common Factor of 4641

Related Greatest Common Factor of 4647

Frequently Asked Questions on GCF of 4641 and 4647

1. What is the GCF of 4641 and 4647?

Answer: GCF of 4641 and 4647 is 3.

2. What are the Factors of 4641?

Answer: Factors of 4641 are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641. There are 16 integers that are factors of 4641. The greatest factor of 4641 is 4641.

3. What are the Factors of 4647?

Answer: Factors of 4647 are 1, 3, 1549, 4647. There are 4 integers that are factors of 4647. The greatest factor of 4647 is 4647.

4. How to Find the GCF of 4641 and 4647?

Answer:

Greatest Common Factor of 4641 and 4647 = 3

Step 1: Find the prime factorization of 4641

4641 = 3 x 7 x 13 x 17

Step 2: Find the prime factorization of 4647

4647 = 3 x 1549

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 4641 and 4647 is 3