Greatest Common Factor of 4630 and 4635

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, 4635 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4630 and 4635 is 5.

GCF(4630,4635) = 5

GCF of 4630 and 4635

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

GCF of:
and

Greatest Common Factor of 4630 and 4635

GCF of 4630 and 4635 is 5

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 4635


3 4635
3 1545
5 515
103 103
1

Prime factors of 4635 are 3,5,103. Prime factorization of 4635 in exponential form is:

4635 = 32×51×1031

∴ So by taking common prime factors GCF of 4630 and 4635 is 5

Greatest Common Factor of 4630 and 4635 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 4635

List of positive integer factors of 4635 that divides 4635 without a remainder.

1,3,5,9,15,45,103,309,515,927,1545,4635

Greatest Common Factor

We found the factors and prime factorization of 4630 and 4635. The biggest common factor number is the GCF number.
So the greatest common factor 4630 and 4635 is 5.

Also check out the Least Common Multiple of 4630 and 4635

Properties of GCF 4630 and 4635

(i) The GCF of 4630 and 4635 is associative

GCF of 4630 and 4635 = GCF of 4635 and 4630

Related Greatest Common Factor of 4630

Related Greatest Common Factor of 4635

Frequently Asked Questions on GCF of 4630 and 4635

1. What is the GCF of 4630 and 4635?

Answer: GCF of 4630 and 4635 is 5.

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 4635?

Answer: Factors of 4635 are 1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545, 4635. There are 12 integers that are factors of 4635. The greatest factor of 4635 is 4635.

4. How to Find the GCF of 4630 and 4635?

Answer:

Greatest Common Factor of 4630 and 4635 = 5

Step 1: Find the prime factorization of 4630

4630 = 2 x 5 x 463

Step 2: Find the prime factorization of 4635

4635 = 3 x 3 x 5 x 103

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 4630 and 4635 is 5