Greatest Common Factor of 4634 and 4641

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 4634, 4641 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4634 and 4641 is 7.

GCF(4634,4641) = 7

GCF of 4634 and 4641

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

GCF of:
and

Greatest Common Factor of 4634 and 4641

GCF of 4634 and 4641 is 7

Prime Factorization of 4634


2 4634
7 2317
331 331
1

Prime factors of 4634 are 2,7,331. Prime factorization of 4634 in exponential form is:

4634 = 21×71×3311

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

∴ So by taking common prime factors GCF of 4634 and 4641 is 7

Greatest Common Factor of 4634 and 4641 by matching factors method

Factors of 4634

List of positive integer factors of 4634 that divides 4634 without a remainder.

1,2,7,14,331,662,2317,4634

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

Greatest Common Factor

We found the factors and prime factorization of 4634 and 4641. The biggest common factor number is the GCF number.
So the greatest common factor 4634 and 4641 is 7.

Also check out the Least Common Multiple of 4634 and 4641

Properties of GCF 4634 and 4641

(i) The GCF of 4634 and 4641 is associative

GCF of 4634 and 4641 = GCF of 4641 and 4634

Related Greatest Common Factor of 4634

Related Greatest Common Factor of 4641

Frequently Asked Questions on GCF of 4634 and 4641

1. What is the GCF of 4634 and 4641?

Answer: GCF of 4634 and 4641 is 7.

2. What are the Factors of 4634?

Answer: Factors of 4634 are 1, 2, 7, 14, 331, 662, 2317, 4634. There are 8 integers that are factors of 4634. The greatest factor of 4634 is 4634.

3. 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.

4. How to Find the GCF of 4634 and 4641?

Answer:

Greatest Common Factor of 4634 and 4641 = 7

Step 1: Find the prime factorization of 4634

4634 = 2 x 7 x 331

Step 2: Find the prime factorization of 4641

4641 = 3 x 7 x 13 x 17

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4634 and 4641 is 7