Greatest Common Factor of 4634 and 4640

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, 4640 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4634 and 4640 is 2.

GCF(4634,4640) = 2

GCF of 4634 and 4640

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

GCF of:
and

Greatest Common Factor of 4634 and 4640

GCF of 4634 and 4640 is 2

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 4640


2 4640
2 2320
2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 4640 are 2,5,29. Prime factorization of 4640 in exponential form is:

4640 = 25×51×291

∴ So by taking common prime factors GCF of 4634 and 4640 is 2

Greatest Common Factor of 4634 and 4640 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 4640

List of positive integer factors of 4640 that divides 4640 without a remainder.

1,2,4,5,8,10,16,20,29,32,40,58,80,116,145,160,232,290,464,580,928,1160,2320,4640

Greatest Common Factor

We found the factors and prime factorization of 4634 and 4640. The biggest common factor number is the GCF number.
So the greatest common factor 4634 and 4640 is 2.

Also check out the Least Common Multiple of 4634 and 4640

Properties of GCF 4634 and 4640

(i) The GCF of 4634 and 4640 is associative

GCF of 4634 and 4640 = GCF of 4640 and 4634

Related Greatest Common Factor of 4634

Related Greatest Common Factor of 4640

Frequently Asked Questions on GCF of 4634 and 4640

1. What is the GCF of 4634 and 4640?

Answer: GCF of 4634 and 4640 is 2.

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 4640?

Answer: Factors of 4640 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320, 4640. There are 24 integers that are factors of 4640. The greatest factor of 4640 is 4640.

4. How to Find the GCF of 4634 and 4640?

Answer:

Greatest Common Factor of 4634 and 4640 = 2

Step 1: Find the prime factorization of 4634

4634 = 2 x 7 x 331

Step 2: Find the prime factorization of 4640

4640 = 2 x 2 x 2 x 2 x 2 x 5 x 29

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4634 and 4640 is 2