Greatest Common Factor of 4650 and 4656

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 4650, 4656 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4650 and 4656 is 6.

GCF(4650,4656) = 6

GCF of 4650 and 4656

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

GCF of:
and

Greatest Common Factor of 4650 and 4656

GCF of 4650 and 4656 is 6

Prime Factorization of 4650


2 4650
3 2325
5 775
5 155
31 31
1

Prime factors of 4650 are 2,3,5,31. Prime factorization of 4650 in exponential form is:

4650 = 21×31×52×311

Prime Factorization of 4656


2 4656
2 2328
2 1164
2 582
3 291
97 97
1

Prime factors of 4656 are 2,3,97. Prime factorization of 4656 in exponential form is:

4656 = 24×31×971

∴ So by taking common prime factors GCF of 4650 and 4656 is 6

Greatest Common Factor of 4650 and 4656 by matching factors method

Factors of 4650

List of positive integer factors of 4650 that divides 4650 without a remainder.

1,2,3,5,6,10,15,25,30,31,50,62,75,93,150,155,186,310,465,775,930,1550,2325,4650

Factors of 4656

List of positive integer factors of 4656 that divides 4656 without a remainder.

1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656

Greatest Common Factor

We found the factors and prime factorization of 4650 and 4656. The biggest common factor number is the GCF number.
So the greatest common factor 4650 and 4656 is 6.

Also check out the Least Common Multiple of 4650 and 4656

Properties of GCF 4650 and 4656

(i) The GCF of 4650 and 4656 is associative

GCF of 4650 and 4656 = GCF of 4656 and 4650

Related Greatest Common Factor of 4650

Related Greatest Common Factor of 4656

Frequently Asked Questions on GCF of 4650 and 4656

1. What is the GCF of 4650 and 4656?

Answer: GCF of 4650 and 4656 is 6.

2. What are the Factors of 4650?

Answer: Factors of 4650 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650. There are 24 integers that are factors of 4650. The greatest factor of 4650 is 4650.

3. What are the Factors of 4656?

Answer: Factors of 4656 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 4656. There are 20 integers that are factors of 4656. The greatest factor of 4656 is 4656.

4. How to Find the GCF of 4650 and 4656?

Answer:

Greatest Common Factor of 4650 and 4656 = 6

Step 1: Find the prime factorization of 4650

4650 = 2 x 3 x 5 x 5 x 31

Step 2: Find the prime factorization of 4656

4656 = 2 x 2 x 2 x 2 x 3 x 97

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4650 and 4656 is 6