Greatest Common Factor of 4720 and 4725

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 4720, 4725 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4720 and 4725 is 5.

GCF(4720,4725) = 5

GCF of 4720 and 4725

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

GCF of:
and

Greatest Common Factor of 4720 and 4725

GCF of 4720 and 4725 is 5

Prime Factorization of 4720


2 4720
2 2360
2 1180
2 590
5 295
59 59
1

Prime factors of 4720 are 2,5,59. Prime factorization of 4720 in exponential form is:

4720 = 24×51×591

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

∴ So by taking common prime factors GCF of 4720 and 4725 is 5

Greatest Common Factor of 4720 and 4725 by matching factors method

Factors of 4720

List of positive integer factors of 4720 that divides 4720 without a remainder.

1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720

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

Greatest Common Factor

We found the factors and prime factorization of 4720 and 4725. The biggest common factor number is the GCF number.
So the greatest common factor 4720 and 4725 is 5.

Also check out the Least Common Multiple of 4720 and 4725

Properties of GCF 4720 and 4725

(i) The GCF of 4720 and 4725 is associative

GCF of 4720 and 4725 = GCF of 4725 and 4720

Related Greatest Common Factor of 4720

Related Greatest Common Factor of 4725

Frequently Asked Questions on GCF of 4720 and 4725

1. What is the GCF of 4720 and 4725?

Answer: GCF of 4720 and 4725 is 5.

2. What are the Factors of 4720?

Answer: Factors of 4720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720. There are 20 integers that are factors of 4720. The greatest factor of 4720 is 4720.

3. 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.

4. How to Find the GCF of 4720 and 4725?

Answer:

Greatest Common Factor of 4720 and 4725 = 5

Step 1: Find the prime factorization of 4720

4720 = 2 x 2 x 2 x 2 x 5 x 59

Step 2: Find the prime factorization of 4725

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

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 4720 and 4725 is 5