Greatest Common Factor of 4664 and 4672

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 4664, 4672 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4664 and 4672 is 8.

GCF(4664,4672) = 8

GCF of 4664 and 4672

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

GCF of:
and

Greatest Common Factor of 4664 and 4672

GCF of 4664 and 4672 is 8

Prime Factorization of 4664


2 4664
2 2332
2 1166
11 583
53 53
1

Prime factors of 4664 are 2,11,53. Prime factorization of 4664 in exponential form is:

4664 = 23×111×531

Prime Factorization of 4672


2 4672
2 2336
2 1168
2 584
2 292
2 146
73 73
1

Prime factors of 4672 are 2,73. Prime factorization of 4672 in exponential form is:

4672 = 26×731

∴ So by taking common prime factors GCF of 4664 and 4672 is 8

Greatest Common Factor of 4664 and 4672 by matching factors method

Factors of 4664

List of positive integer factors of 4664 that divides 4664 without a remainder.

1,2,4,8,11,22,44,53,88,106,212,424,583,1166,2332,4664

Factors of 4672

List of positive integer factors of 4672 that divides 4672 without a remainder.

1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672

Greatest Common Factor

We found the factors and prime factorization of 4664 and 4672. The biggest common factor number is the GCF number.
So the greatest common factor 4664 and 4672 is 8.

Also check out the Least Common Multiple of 4664 and 4672

Properties of GCF 4664 and 4672

(i) The GCF of 4664 and 4672 is associative

GCF of 4664 and 4672 = GCF of 4672 and 4664

Related Greatest Common Factor of 4664

Related Greatest Common Factor of 4672

Frequently Asked Questions on GCF of 4664 and 4672

1. What is the GCF of 4664 and 4672?

Answer: GCF of 4664 and 4672 is 8.

2. What are the Factors of 4664?

Answer: Factors of 4664 are 1, 2, 4, 8, 11, 22, 44, 53, 88, 106, 212, 424, 583, 1166, 2332, 4664. There are 16 integers that are factors of 4664. The greatest factor of 4664 is 4664.

3. What are the Factors of 4672?

Answer: Factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672. There are 14 integers that are factors of 4672. The greatest factor of 4672 is 4672.

4. How to Find the GCF of 4664 and 4672?

Answer:

Greatest Common Factor of 4664 and 4672 = 8

Step 1: Find the prime factorization of 4664

4664 = 2 x 2 x 2 x 11 x 53

Step 2: Find the prime factorization of 4672

4672 = 2 x 2 x 2 x 2 x 2 x 2 x 73

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 4664 and 4672 is 8