Greatest Common Factor of 4666 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 4666, 4672 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4666 and 4672 is 2.

GCF(4666,4672) = 2

GCF of 4666 and 4672

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

GCF of:
and

Greatest Common Factor of 4666 and 4672

GCF of 4666 and 4672 is 2

Prime Factorization of 4666


2 4666
2333 2333
1

Prime factors of 4666 are 2,2333. Prime factorization of 4666 in exponential form is:

4666 = 21×23331

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 4666 and 4672 is 2

Greatest Common Factor of 4666 and 4672 by matching factors method

Factors of 4666

List of positive integer factors of 4666 that divides 4666 without a remainder.

1,2,2333,4666

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 4666 and 4672. The biggest common factor number is the GCF number.
So the greatest common factor 4666 and 4672 is 2.

Also check out the Least Common Multiple of 4666 and 4672

Properties of GCF 4666 and 4672

(i) The GCF of 4666 and 4672 is associative

GCF of 4666 and 4672 = GCF of 4672 and 4666

Related Greatest Common Factor of 4666

Related Greatest Common Factor of 4672

Frequently Asked Questions on GCF of 4666 and 4672

1. What is the GCF of 4666 and 4672?

Answer: GCF of 4666 and 4672 is 2.

2. What are the Factors of 4666?

Answer: Factors of 4666 are 1, 2, 2333, 4666. There are 4 integers that are factors of 4666. The greatest factor of 4666 is 4666.

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 4666 and 4672?

Answer:

Greatest Common Factor of 4666 and 4672 = 2

Step 1: Find the prime factorization of 4666

4666 = 2 x 2333

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

Step 4: Therefore, the greatest common factor of 4666 and 4672 is 2