Greatest Common Factor of 4428 and 4436

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, 4436 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4428 and 4436 is 4.

GCF(4428,4436) = 4

GCF of 4428 and 4436

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

GCF of:
and

Greatest Common Factor of 4428 and 4436

GCF of 4428 and 4436 is 4

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 4436


2 4436
2 2218
1109 1109
1

Prime factors of 4436 are 2,1109. Prime factorization of 4436 in exponential form is:

4436 = 22×11091

∴ So by taking common prime factors GCF of 4428 and 4436 is 4

Greatest Common Factor of 4428 and 4436 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 4436

List of positive integer factors of 4436 that divides 4436 without a remainder.

1,2,4,1109,2218,4436

Greatest Common Factor

We found the factors and prime factorization of 4428 and 4436. The biggest common factor number is the GCF number.
So the greatest common factor 4428 and 4436 is 4.

Also check out the Least Common Multiple of 4428 and 4436

Properties of GCF 4428 and 4436

(i) The GCF of 4428 and 4436 is associative

GCF of 4428 and 4436 = GCF of 4436 and 4428

Related Greatest Common Factor of 4428

Related Greatest Common Factor of 4436

Frequently Asked Questions on GCF of 4428 and 4436

1. What is the GCF of 4428 and 4436?

Answer: GCF of 4428 and 4436 is 4.

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 4436?

Answer: Factors of 4436 are 1, 2, 4, 1109, 2218, 4436. There are 6 integers that are factors of 4436. The greatest factor of 4436 is 4436.

4. How to Find the GCF of 4428 and 4436?

Answer:

Greatest Common Factor of 4428 and 4436 = 4

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 4436

4436 = 2 x 2 x 1109

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4428 and 4436 is 4