Greatest Common Factor of 4425 and 4428

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, 4428 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4425 and 4428 is 3.

GCF(4425,4428) = 3

GCF of 4425 and 4428

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

GCF of:
and

Greatest Common Factor of 4425 and 4428

GCF of 4425 and 4428 is 3

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 4428


2 4428
2 2214
3 1107
3 369
3 123
41 41
1

Prime factors of 4428 are 2,3,41. Prime factorization of 4428 in exponential form is:

4428 = 22×33×411

∴ So by taking common prime factors GCF of 4425 and 4428 is 3

Greatest Common Factor of 4425 and 4428 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 4428

List of positive integer factors of 4428 that divides 4428 without a remainder.

1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428

Greatest Common Factor

We found the factors and prime factorization of 4425 and 4428. The biggest common factor number is the GCF number.
So the greatest common factor 4425 and 4428 is 3.

Also check out the Least Common Multiple of 4425 and 4428

Properties of GCF 4425 and 4428

(i) The GCF of 4425 and 4428 is associative

GCF of 4425 and 4428 = GCF of 4428 and 4425

Related Greatest Common Factor of 4425

Related Greatest Common Factor of 4428

Frequently Asked Questions on GCF of 4425 and 4428

1. What is the GCF of 4425 and 4428?

Answer: GCF of 4425 and 4428 is 3.

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 4428?

Answer: Factors of 4428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428. There are 24 integers that are factors of 4428. The greatest factor of 4428 is 4428.

4. How to Find the GCF of 4425 and 4428?

Answer:

Greatest Common Factor of 4425 and 4428 = 3

Step 1: Find the prime factorization of 4425

4425 = 3 x 5 x 5 x 59

Step 2: Find the prime factorization of 4428

4428 = 2 x 2 x 3 x 3 x 3 x 41

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

GCF = 3

Step 4: Therefore, the greatest common factor of 4425 and 4428 is 3