Greatest Common Factor of 4629 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 4629, 4635 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4629 and 4635 is 3.

GCF(4629,4635) = 3

GCF of 4629 and 4635

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

GCF of:
and

Greatest Common Factor of 4629 and 4635

GCF of 4629 and 4635 is 3

Prime Factorization of 4629


3 4629
1543 1543
1

Prime factors of 4629 are 3,1543. Prime factorization of 4629 in exponential form is:

4629 = 31×15431

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 4629 and 4635 is 3

Greatest Common Factor of 4629 and 4635 by matching factors method

Factors of 4629

List of positive integer factors of 4629 that divides 4629 without a remainder.

1,3,1543,4629

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 4629 and 4635. The biggest common factor number is the GCF number.
So the greatest common factor 4629 and 4635 is 3.

Also check out the Least Common Multiple of 4629 and 4635

Properties of GCF 4629 and 4635

(i) The GCF of 4629 and 4635 is associative

GCF of 4629 and 4635 = GCF of 4635 and 4629

Related Greatest Common Factor of 4629

Related Greatest Common Factor of 4635

Frequently Asked Questions on GCF of 4629 and 4635

1. What is the GCF of 4629 and 4635?

Answer: GCF of 4629 and 4635 is 3.

2. What are the Factors of 4629?

Answer: Factors of 4629 are 1, 3, 1543, 4629. There are 4 integers that are factors of 4629. The greatest factor of 4629 is 4629.

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 4629 and 4635?

Answer:

Greatest Common Factor of 4629 and 4635 = 3

Step 1: Find the prime factorization of 4629

4629 = 3 x 1543

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 = 3

Step 4: Therefore, the greatest common factor of 4629 and 4635 is 3