Greatest Common Factor of 4725 and 4732

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, 4732 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4725 and 4732 is 7.

GCF(4725,4732) = 7

GCF of 4725 and 4732

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

GCF of:
and

Greatest Common Factor of 4725 and 4732

GCF of 4725 and 4732 is 7

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 4732


2 4732
2 2366
7 1183
13 169
13 13
1

Prime factors of 4732 are 2,7,13. Prime factorization of 4732 in exponential form is:

4732 = 22×71×132

∴ So by taking common prime factors GCF of 4725 and 4732 is 7

Greatest Common Factor of 4725 and 4732 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 4732

List of positive integer factors of 4732 that divides 4732 without a remainder.

1,2,4,7,13,14,26,28,52,91,169,182,338,364,676,1183,2366,4732

Greatest Common Factor

We found the factors and prime factorization of 4725 and 4732. The biggest common factor number is the GCF number.
So the greatest common factor 4725 and 4732 is 7.

Also check out the Least Common Multiple of 4725 and 4732

Properties of GCF 4725 and 4732

(i) The GCF of 4725 and 4732 is associative

GCF of 4725 and 4732 = GCF of 4732 and 4725

Related Greatest Common Factor of 4725

Related Greatest Common Factor of 4732

Frequently Asked Questions on GCF of 4725 and 4732

1. What is the GCF of 4725 and 4732?

Answer: GCF of 4725 and 4732 is 7.

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 4732?

Answer: Factors of 4732 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366, 4732. There are 18 integers that are factors of 4732. The greatest factor of 4732 is 4732.

4. How to Find the GCF of 4725 and 4732?

Answer:

Greatest Common Factor of 4725 and 4732 = 7

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 4732

4732 = 2 x 2 x 7 x 13 x 13

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4725 and 4732 is 7