Greatest Common Factor of 4658 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 4658, 4662 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4658 and 4662 is 2.

GCF(4658,4662) = 2

GCF of 4658 and 4662

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

GCF of:
and

Greatest Common Factor of 4658 and 4662

GCF of 4658 and 4662 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 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 4658 and 4662 is 2

Greatest Common Factor of 4658 and 4662 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 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 4658 and 4662. The biggest common factor number is the GCF number.
So the greatest common factor 4658 and 4662 is 2.

Also check out the Least Common Multiple of 4658 and 4662

Properties of GCF 4658 and 4662

(i) The GCF of 4658 and 4662 is associative

GCF of 4658 and 4662 = GCF of 4662 and 4658

Related Greatest Common Factor of 4658

Related Greatest Common Factor of 4662

Frequently Asked Questions on GCF of 4658 and 4662

1. What is the GCF of 4658 and 4662?

Answer: GCF of 4658 and 4662 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 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 4658 and 4662?

Answer:

Greatest Common Factor of 4658 and 4662 = 2

Step 1: Find the prime factorization of 4658

4658 = 2 x 17 x 137

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

Step 4: Therefore, the greatest common factor of 4658 and 4662 is 2