Greatest Common Factor of 4635 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 4635, 4638 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4635 and 4638 is 3.

GCF(4635,4638) = 3

GCF of 4635 and 4638

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

GCF of:
and

Greatest Common Factor of 4635 and 4638

GCF of 4635 and 4638 is 3

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

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 4635 and 4638 is 3

Greatest Common Factor of 4635 and 4638 by matching factors method

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

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 4635 and 4638. The biggest common factor number is the GCF number.
So the greatest common factor 4635 and 4638 is 3.

Also check out the Least Common Multiple of 4635 and 4638

Properties of GCF 4635 and 4638

(i) The GCF of 4635 and 4638 is associative

GCF of 4635 and 4638 = GCF of 4638 and 4635

Related Greatest Common Factor of 4635

Related Greatest Common Factor of 4638

Frequently Asked Questions on GCF of 4635 and 4638

1. What is the GCF of 4635 and 4638?

Answer: GCF of 4635 and 4638 is 3.

2. 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.

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 4635 and 4638?

Answer:

Greatest Common Factor of 4635 and 4638 = 3

Step 1: Find the prime factorization of 4635

4635 = 3 x 3 x 5 x 103

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 = 3

Step 4: Therefore, the greatest common factor of 4635 and 4638 is 3