Greatest Common Factor of 4656 and 4662

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 4656, 4662 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4656 and 4662 is 6.

GCF(4656,4662) = 6

GCF of 4656 and 4662

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

GCF of:
and

Greatest Common Factor of 4656 and 4662

GCF of 4656 and 4662 is 6

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

Prime Factorization of 4662


2 4662
3 2331
3 777
7 259
37 37
1

Prime factors of 4662 are 2,3,7,37. Prime factorization of 4662 in exponential form is:

4662 = 21×32×71×371

∴ So by taking common prime factors GCF of 4656 and 4662 is 6

Greatest Common Factor of 4656 and 4662 by matching factors method

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

Factors of 4662

List of positive integer factors of 4662 that divides 4662 without a remainder.

1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662

Greatest Common Factor

We found the factors and prime factorization of 4656 and 4662. The biggest common factor number is the GCF number.
So the greatest common factor 4656 and 4662 is 6.

Also check out the Least Common Multiple of 4656 and 4662

Properties of GCF 4656 and 4662

(i) The GCF of 4656 and 4662 is associative

GCF of 4656 and 4662 = GCF of 4662 and 4656

Related Greatest Common Factor of 4656

Related Greatest Common Factor of 4662

Frequently Asked Questions on GCF of 4656 and 4662

1. What is the GCF of 4656 and 4662?

Answer: GCF of 4656 and 4662 is 6.

2. 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.

3. What are the Factors of 4662?

Answer: Factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662. There are 24 integers that are factors of 4662. The greatest factor of 4662 is 4662.

4. How to Find the GCF of 4656 and 4662?

Answer:

Greatest Common Factor of 4656 and 4662 = 6

Step 1: Find the prime factorization of 4656

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

Step 2: Find the prime factorization of 4662

4662 = 2 x 3 x 3 x 7 x 37

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 4656 and 4662 is 6