Greatest Common Factor of 4654 and 4658

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 4654, 4658 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4654 and 4658 is 2.

GCF(4654,4658) = 2

GCF of 4654 and 4658

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

GCF of:
and

Greatest Common Factor of 4654 and 4658

GCF of 4654 and 4658 is 2

Prime Factorization of 4654


2 4654
13 2327
179 179
1

Prime factors of 4654 are 2,13,179. Prime factorization of 4654 in exponential form is:

4654 = 21×131×1791

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

∴ So by taking common prime factors GCF of 4654 and 4658 is 2

Greatest Common Factor of 4654 and 4658 by matching factors method

Factors of 4654

List of positive integer factors of 4654 that divides 4654 without a remainder.

1,2,13,26,179,358,2327,4654

Factors of 4658

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

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

Greatest Common Factor

We found the factors and prime factorization of 4654 and 4658. The biggest common factor number is the GCF number.
So the greatest common factor 4654 and 4658 is 2.

Also check out the Least Common Multiple of 4654 and 4658

Properties of GCF 4654 and 4658

(i) The GCF of 4654 and 4658 is associative

GCF of 4654 and 4658 = GCF of 4658 and 4654

Related Greatest Common Factor of 4654

Related Greatest Common Factor of 4658

Frequently Asked Questions on GCF of 4654 and 4658

1. What is the GCF of 4654 and 4658?

Answer: GCF of 4654 and 4658 is 2.

2. What are the Factors of 4654?

Answer: Factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654. There are 8 integers that are factors of 4654. The greatest factor of 4654 is 4654.

3. 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.

4. How to Find the GCF of 4654 and 4658?

Answer:

Greatest Common Factor of 4654 and 4658 = 2

Step 1: Find the prime factorization of 4654

4654 = 2 x 13 x 179

Step 2: Find the prime factorization of 4658

4658 = 2 x 17 x 137

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 4654 and 4658 is 2