Greatest Common Factor of 4600 and 4608

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 4600, 4608 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4600 and 4608 is 8.

GCF(4600,4608) = 8

GCF of 4600 and 4608

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

GCF of:
and

Greatest Common Factor of 4600 and 4608

GCF of 4600 and 4608 is 8

Prime Factorization of 4600


2 4600
2 2300
2 1150
5 575
5 115
23 23
1

Prime factors of 4600 are 2,5,23. Prime factorization of 4600 in exponential form is:

4600 = 23×52×231

Prime Factorization of 4608


2 4608
2 2304
2 1152
2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 4608 are 2,3. Prime factorization of 4608 in exponential form is:

4608 = 29×32

∴ So by taking common prime factors GCF of 4600 and 4608 is 8

Greatest Common Factor of 4600 and 4608 by matching factors method

Factors of 4600

List of positive integer factors of 4600 that divides 4600 without a remainder.

1,2,4,5,8,10,20,23,25,40,46,50,92,100,115,184,200,230,460,575,920,1150,2300,4600

Factors of 4608

List of positive integer factors of 4608 that divides 4608 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1152,1536,2304,4608

Greatest Common Factor

We found the factors and prime factorization of 4600 and 4608. The biggest common factor number is the GCF number.
So the greatest common factor 4600 and 4608 is 8.

Also check out the Least Common Multiple of 4600 and 4608

Properties of GCF 4600 and 4608

(i) The GCF of 4600 and 4608 is associative

GCF of 4600 and 4608 = GCF of 4608 and 4600

Related Greatest Common Factor of 4600

Related Greatest Common Factor of 4608

Frequently Asked Questions on GCF of 4600 and 4608

1. What is the GCF of 4600 and 4608?

Answer: GCF of 4600 and 4608 is 8.

2. What are the Factors of 4600?

Answer: Factors of 4600 are 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300, 4600. There are 24 integers that are factors of 4600. The greatest factor of 4600 is 4600.

3. What are the Factors of 4608?

Answer: Factors of 4608 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1152, 1536, 2304, 4608. There are 30 integers that are factors of 4608. The greatest factor of 4608 is 4608.

4. How to Find the GCF of 4600 and 4608?

Answer:

Greatest Common Factor of 4600 and 4608 = 8

Step 1: Find the prime factorization of 4600

4600 = 2 x 2 x 2 x 5 x 5 x 23

Step 2: Find the prime factorization of 4608

4608 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4600 and 4608 is 8