Greatest Common Factor of 4630 and 4638

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, 4638 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4630 and 4638 is 2.

GCF(4630,4638) = 2

GCF of 4630 and 4638

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

GCF of:
and

Greatest Common Factor of 4630 and 4638

GCF of 4630 and 4638 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 4638


2 4638
3 2319
773 773
1

Prime factors of 4638 are 2,3,773. Prime factorization of 4638 in exponential form is:

4638 = 21×31×7731

∴ So by taking common prime factors GCF of 4630 and 4638 is 2

Greatest Common Factor of 4630 and 4638 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 4638

List of positive integer factors of 4638 that divides 4638 without a remainder.

1,2,3,6,773,1546,2319,4638

Greatest Common Factor

We found the factors and prime factorization of 4630 and 4638. The biggest common factor number is the GCF number.
So the greatest common factor 4630 and 4638 is 2.

Also check out the Least Common Multiple of 4630 and 4638

Properties of GCF 4630 and 4638

(i) The GCF of 4630 and 4638 is associative

GCF of 4630 and 4638 = GCF of 4638 and 4630

Related Greatest Common Factor of 4630

Related Greatest Common Factor of 4638

Frequently Asked Questions on GCF of 4630 and 4638

1. What is the GCF of 4630 and 4638?

Answer: GCF of 4630 and 4638 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 4638?

Answer: Factors of 4638 are 1, 2, 3, 6, 773, 1546, 2319, 4638. There are 8 integers that are factors of 4638. The greatest factor of 4638 is 4638.

4. How to Find the GCF of 4630 and 4638?

Answer:

Greatest Common Factor of 4630 and 4638 = 2

Step 1: Find the prime factorization of 4630

4630 = 2 x 5 x 463

Step 2: Find the prime factorization of 4638

4638 = 2 x 3 x 773

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 4638 is 2