Greatest Common Factor of 4428 and 4434

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 4428, 4434 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4428 and 4434 is 6.

GCF(4428,4434) = 6

GCF of 4428 and 4434

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

GCF of:
and

Greatest Common Factor of 4428 and 4434

GCF of 4428 and 4434 is 6

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

Prime Factorization of 4434


2 4434
3 2217
739 739
1

Prime factors of 4434 are 2,3,739. Prime factorization of 4434 in exponential form is:

4434 = 21×31×7391

∴ So by taking common prime factors GCF of 4428 and 4434 is 6

Greatest Common Factor of 4428 and 4434 by matching factors method

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

Factors of 4434

List of positive integer factors of 4434 that divides 4434 without a remainder.

1,2,3,6,739,1478,2217,4434

Greatest Common Factor

We found the factors and prime factorization of 4428 and 4434. The biggest common factor number is the GCF number.
So the greatest common factor 4428 and 4434 is 6.

Also check out the Least Common Multiple of 4428 and 4434

Properties of GCF 4428 and 4434

(i) The GCF of 4428 and 4434 is associative

GCF of 4428 and 4434 = GCF of 4434 and 4428

Related Greatest Common Factor of 4428

Related Greatest Common Factor of 4434

Frequently Asked Questions on GCF of 4428 and 4434

1. What is the GCF of 4428 and 4434?

Answer: GCF of 4428 and 4434 is 6.

2. 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.

3. What are the Factors of 4434?

Answer: Factors of 4434 are 1, 2, 3, 6, 739, 1478, 2217, 4434. There are 8 integers that are factors of 4434. The greatest factor of 4434 is 4434.

4. How to Find the GCF of 4428 and 4434?

Answer:

Greatest Common Factor of 4428 and 4434 = 6

Step 1: Find the prime factorization of 4428

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

Step 2: Find the prime factorization of 4434

4434 = 2 x 3 x 739

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4428 and 4434 is 6