Greatest Common Factor of 4425 and 4430

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 4425, 4430 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4425 and 4430 is 5.

GCF(4425,4430) = 5

GCF of 4425 and 4430

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

GCF of:
and

Greatest Common Factor of 4425 and 4430

GCF of 4425 and 4430 is 5

Prime Factorization of 4425


3 4425
5 1475
5 295
59 59
1

Prime factors of 4425 are 3,5,59. Prime factorization of 4425 in exponential form is:

4425 = 31×52×591

Prime Factorization of 4430


2 4430
5 2215
443 443
1

Prime factors of 4430 are 2,5,443. Prime factorization of 4430 in exponential form is:

4430 = 21×51×4431

∴ So by taking common prime factors GCF of 4425 and 4430 is 5

Greatest Common Factor of 4425 and 4430 by matching factors method

Factors of 4425

List of positive integer factors of 4425 that divides 4425 without a remainder.

1,3,5,15,25,59,75,177,295,885,1475,4425

Factors of 4430

List of positive integer factors of 4430 that divides 4430 without a remainder.

1,2,5,10,443,886,2215,4430

Greatest Common Factor

We found the factors and prime factorization of 4425 and 4430. The biggest common factor number is the GCF number.
So the greatest common factor 4425 and 4430 is 5.

Also check out the Least Common Multiple of 4425 and 4430

Properties of GCF 4425 and 4430

(i) The GCF of 4425 and 4430 is associative

GCF of 4425 and 4430 = GCF of 4430 and 4425

Related Greatest Common Factor of 4425

Related Greatest Common Factor of 4430

Frequently Asked Questions on GCF of 4425 and 4430

1. What is the GCF of 4425 and 4430?

Answer: GCF of 4425 and 4430 is 5.

2. What are the Factors of 4425?

Answer: Factors of 4425 are 1, 3, 5, 15, 25, 59, 75, 177, 295, 885, 1475, 4425. There are 12 integers that are factors of 4425. The greatest factor of 4425 is 4425.

3. What are the Factors of 4430?

Answer: Factors of 4430 are 1, 2, 5, 10, 443, 886, 2215, 4430. There are 8 integers that are factors of 4430. The greatest factor of 4430 is 4430.

4. How to Find the GCF of 4425 and 4430?

Answer:

Greatest Common Factor of 4425 and 4430 = 5

Step 1: Find the prime factorization of 4425

4425 = 3 x 5 x 5 x 59

Step 2: Find the prime factorization of 4430

4430 = 2 x 5 x 443

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 4425 and 4430 is 5