Greatest Common Factor of 4725 and 4729

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 4725, 4729 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4725 and 4729 is 1.

GCF(4725,4729) = 1

GCF of 4725 and 4729

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

GCF of:
and

Greatest Common Factor of 4725 and 4729

GCF of 4725 and 4729 is 1

Prime Factorization of 4725


3 4725
3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 4725 are 3,5,7. Prime factorization of 4725 in exponential form is:

4725 = 33×52×71

Prime Factorization of 4729


4729 4729
1

Prime factors of 4729 are 4729. Prime factorization of 4729 in exponential form is:

4729 = 47291

∴ So by taking common prime factors GCF of 4725 and 4729 is 1

Greatest Common Factor of 4725 and 4729 by matching factors method

Factors of 4725

List of positive integer factors of 4725 that divides 4725 without a remainder.

1,3,5,7,9,15,21,25,27,35,45,63,75,105,135,175,189,225,315,525,675,945,1575,4725

Factors of 4729

List of positive integer factors of 4729 that divides 4729 without a remainder.

1,4729

Greatest Common Factor

We found the factors and prime factorization of 4725 and 4729. The biggest common factor number is the GCF number.
So the greatest common factor 4725 and 4729 is 1.

Also check out the Least Common Multiple of 4725 and 4729

Properties of GCF 4725 and 4729

(i) The GCF of 4725 and 4729 is associative

GCF of 4725 and 4729 = GCF of 4729 and 4725

Related Greatest Common Factor of 4725

Related Greatest Common Factor of 4729

Frequently Asked Questions on GCF of 4725 and 4729

1. What is the GCF of 4725 and 4729?

Answer: GCF of 4725 and 4729 is 1.

2. What are the Factors of 4725?

Answer: Factors of 4725 are 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725. There are 24 integers that are factors of 4725. The greatest factor of 4725 is 4725.

3. What are the Factors of 4729?

Answer: Factors of 4729 are 1, 4729. There are 2 integers that are factors of 4729. The greatest factor of 4729 is 4729.

4. How to Find the GCF of 4725 and 4729?

Answer:

Greatest Common Factor of 4725 and 4729 = 1

Step 1: Find the prime factorization of 4725

4725 = 3 x 3 x 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 4729

4729 = 4729

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4725 and 4729 is 1