Greatest Common Factor of 4320 and 4325

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 4320, 4325 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4320 and 4325 is 5.

GCF(4320,4325) = 5

GCF of 4320 and 4325

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

GCF of:
and

Greatest Common Factor of 4320 and 4325

GCF of 4320 and 4325 is 5

Prime Factorization of 4320


2 4320
2 2160
2 1080
2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 4320 are 2,3,5. Prime factorization of 4320 in exponential form is:

4320 = 25×33×51

Prime Factorization of 4325


5 4325
5 865
173 173
1

Prime factors of 4325 are 5,173. Prime factorization of 4325 in exponential form is:

4325 = 52×1731

∴ So by taking common prime factors GCF of 4320 and 4325 is 5

Greatest Common Factor of 4320 and 4325 by matching factors method

Factors of 4320

List of positive integer factors of 4320 that divides 4320 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,72,80,90,96,108,120,135,144,160,180,216,240,270,288,360,432,480,540,720,864,1080,1440,2160,4320

Factors of 4325

List of positive integer factors of 4325 that divides 4325 without a remainder.

1,5,25,173,865,4325

Greatest Common Factor

We found the factors and prime factorization of 4320 and 4325. The biggest common factor number is the GCF number.
So the greatest common factor 4320 and 4325 is 5.

Also check out the Least Common Multiple of 4320 and 4325

Properties of GCF 4320 and 4325

(i) The GCF of 4320 and 4325 is associative

GCF of 4320 and 4325 = GCF of 4325 and 4320

Related Greatest Common Factor of 4320

Related Greatest Common Factor of 4325

Frequently Asked Questions on GCF of 4320 and 4325

1. What is the GCF of 4320 and 4325?

Answer: GCF of 4320 and 4325 is 5.

2. What are the Factors of 4320?

Answer: Factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320. There are 48 integers that are factors of 4320. The greatest factor of 4320 is 4320.

3. What are the Factors of 4325?

Answer: Factors of 4325 are 1, 5, 25, 173, 865, 4325. There are 6 integers that are factors of 4325. The greatest factor of 4325 is 4325.

4. How to Find the GCF of 4320 and 4325?

Answer:

Greatest Common Factor of 4320 and 4325 = 5

Step 1: Find the prime factorization of 4320

4320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 4325

4325 = 5 x 5 x 173

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 4320 and 4325 is 5