Greatest Common Factor of 4630 and 4634

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 4630, 4634 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4630 and 4634 is 2.

GCF(4630,4634) = 2

GCF of 4630 and 4634

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

GCF of:
and

Greatest Common Factor of 4630 and 4634

GCF of 4630 and 4634 is 2

Prime Factorization of 4630


2 4630
5 2315
463 463
1

Prime factors of 4630 are 2,5,463. Prime factorization of 4630 in exponential form is:

4630 = 21×51×4631

Prime Factorization of 4634


2 4634
7 2317
331 331
1

Prime factors of 4634 are 2,7,331. Prime factorization of 4634 in exponential form is:

4634 = 21×71×3311

∴ So by taking common prime factors GCF of 4630 and 4634 is 2

Greatest Common Factor of 4630 and 4634 by matching factors method

Factors of 4630

List of positive integer factors of 4630 that divides 4630 without a remainder.

1,2,5,10,463,926,2315,4630

Factors of 4634

List of positive integer factors of 4634 that divides 4634 without a remainder.

1,2,7,14,331,662,2317,4634

Greatest Common Factor

We found the factors and prime factorization of 4630 and 4634. The biggest common factor number is the GCF number.
So the greatest common factor 4630 and 4634 is 2.

Also check out the Least Common Multiple of 4630 and 4634

Properties of GCF 4630 and 4634

(i) The GCF of 4630 and 4634 is associative

GCF of 4630 and 4634 = GCF of 4634 and 4630

Related Greatest Common Factor of 4630

Related Greatest Common Factor of 4634

Frequently Asked Questions on GCF of 4630 and 4634

1. What is the GCF of 4630 and 4634?

Answer: GCF of 4630 and 4634 is 2.

2. What are the Factors of 4630?

Answer: Factors of 4630 are 1, 2, 5, 10, 463, 926, 2315, 4630. There are 8 integers that are factors of 4630. The greatest factor of 4630 is 4630.

3. What are the Factors of 4634?

Answer: Factors of 4634 are 1, 2, 7, 14, 331, 662, 2317, 4634. There are 8 integers that are factors of 4634. The greatest factor of 4634 is 4634.

4. How to Find the GCF of 4630 and 4634?

Answer:

Greatest Common Factor of 4630 and 4634 = 2

Step 1: Find the prime factorization of 4630

4630 = 2 x 5 x 463

Step 2: Find the prime factorization of 4634

4634 = 2 x 7 x 331

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 4630 and 4634 is 2