Greatest Common Factor of 4640 and 4646

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, 4646 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4640 and 4646 is 2.

GCF(4640,4646) = 2

GCF of 4640 and 4646

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

GCF of:
and

Greatest Common Factor of 4640 and 4646

GCF of 4640 and 4646 is 2

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 4646


2 4646
23 2323
101 101
1

Prime factors of 4646 are 2,23,101. Prime factorization of 4646 in exponential form is:

4646 = 21×231×1011

∴ So by taking common prime factors GCF of 4640 and 4646 is 2

Greatest Common Factor of 4640 and 4646 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 4646

List of positive integer factors of 4646 that divides 4646 without a remainder.

1,2,23,46,101,202,2323,4646

Greatest Common Factor

We found the factors and prime factorization of 4640 and 4646. The biggest common factor number is the GCF number.
So the greatest common factor 4640 and 4646 is 2.

Also check out the Least Common Multiple of 4640 and 4646

Properties of GCF 4640 and 4646

(i) The GCF of 4640 and 4646 is associative

GCF of 4640 and 4646 = GCF of 4646 and 4640

Related Greatest Common Factor of 4640

Related Greatest Common Factor of 4646

Frequently Asked Questions on GCF of 4640 and 4646

1. What is the GCF of 4640 and 4646?

Answer: GCF of 4640 and 4646 is 2.

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 4646?

Answer: Factors of 4646 are 1, 2, 23, 46, 101, 202, 2323, 4646. There are 8 integers that are factors of 4646. The greatest factor of 4646 is 4646.

4. How to Find the GCF of 4640 and 4646?

Answer:

Greatest Common Factor of 4640 and 4646 = 2

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 4646

4646 = 2 x 23 x 101

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 4640 and 4646 is 2