Greatest Common Factor of 4658 and 4664

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 4658, 4664 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4658 and 4664 is 2.

GCF(4658,4664) = 2

GCF of 4658 and 4664

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

GCF of:
and

Greatest Common Factor of 4658 and 4664

GCF of 4658 and 4664 is 2

Prime Factorization of 4658


2 4658
17 2329
137 137
1

Prime factors of 4658 are 2,17,137. Prime factorization of 4658 in exponential form is:

4658 = 21×171×1371

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

∴ So by taking common prime factors GCF of 4658 and 4664 is 2

Greatest Common Factor of 4658 and 4664 by matching factors method

Factors of 4658

List of positive integer factors of 4658 that divides 4658 without a remainder.

1,2,17,34,137,274,2329,4658

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

Greatest Common Factor

We found the factors and prime factorization of 4658 and 4664. The biggest common factor number is the GCF number.
So the greatest common factor 4658 and 4664 is 2.

Also check out the Least Common Multiple of 4658 and 4664

Properties of GCF 4658 and 4664

(i) The GCF of 4658 and 4664 is associative

GCF of 4658 and 4664 = GCF of 4664 and 4658

Related Greatest Common Factor of 4658

Related Greatest Common Factor of 4664

Frequently Asked Questions on GCF of 4658 and 4664

1. What is the GCF of 4658 and 4664?

Answer: GCF of 4658 and 4664 is 2.

2. What are the Factors of 4658?

Answer: Factors of 4658 are 1, 2, 17, 34, 137, 274, 2329, 4658. There are 8 integers that are factors of 4658. The greatest factor of 4658 is 4658.

3. 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.

4. How to Find the GCF of 4658 and 4664?

Answer:

Greatest Common Factor of 4658 and 4664 = 2

Step 1: Find the prime factorization of 4658

4658 = 2 x 17 x 137

Step 2: Find the prime factorization of 4664

4664 = 2 x 2 x 2 x 11 x 53

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 4658 and 4664 is 2