Greatest Common Factor of 4640 and 4644

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 4640, 4644 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4640 and 4644 is 4.

GCF(4640,4644) = 4

GCF of 4640 and 4644

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

GCF of:
and

Greatest Common Factor of 4640 and 4644

GCF of 4640 and 4644 is 4

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

Prime Factorization of 4644


2 4644
2 2322
3 1161
3 387
3 129
43 43
1

Prime factors of 4644 are 2,3,43. Prime factorization of 4644 in exponential form is:

4644 = 22×33×431

∴ So by taking common prime factors GCF of 4640 and 4644 is 4

Greatest Common Factor of 4640 and 4644 by matching factors method

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

Factors of 4644

List of positive integer factors of 4644 that divides 4644 without a remainder.

1,2,3,4,6,9,12,18,27,36,43,54,86,108,129,172,258,387,516,774,1161,1548,2322,4644

Greatest Common Factor

We found the factors and prime factorization of 4640 and 4644. The biggest common factor number is the GCF number.
So the greatest common factor 4640 and 4644 is 4.

Also check out the Least Common Multiple of 4640 and 4644

Properties of GCF 4640 and 4644

(i) The GCF of 4640 and 4644 is associative

GCF of 4640 and 4644 = GCF of 4644 and 4640

Related Greatest Common Factor of 4640

Related Greatest Common Factor of 4644

Frequently Asked Questions on GCF of 4640 and 4644

1. What is the GCF of 4640 and 4644?

Answer: GCF of 4640 and 4644 is 4.

2. 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.

3. What are the Factors of 4644?

Answer: Factors of 4644 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 86, 108, 129, 172, 258, 387, 516, 774, 1161, 1548, 2322, 4644. There are 24 integers that are factors of 4644. The greatest factor of 4644 is 4644.

4. How to Find the GCF of 4640 and 4644?

Answer:

Greatest Common Factor of 4640 and 4644 = 4

Step 1: Find the prime factorization of 4640

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

Step 2: Find the prime factorization of 4644

4644 = 2 x 2 x 3 x 3 x 3 x 43

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4640 and 4644 is 4