Greatest Common Factor of 4444 and 4452

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 4444, 4452 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4444 and 4452 is 4.

GCF(4444,4452) = 4

GCF of 4444 and 4452

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

GCF of:
and

Greatest Common Factor of 4444 and 4452

GCF of 4444 and 4452 is 4

Prime Factorization of 4444


2 4444
2 2222
11 1111
101 101
1

Prime factors of 4444 are 2,11,101. Prime factorization of 4444 in exponential form is:

4444 = 22×111×1011

Prime Factorization of 4452


2 4452
2 2226
3 1113
7 371
53 53
1

Prime factors of 4452 are 2,3,7,53. Prime factorization of 4452 in exponential form is:

4452 = 22×31×71×531

∴ So by taking common prime factors GCF of 4444 and 4452 is 4

Greatest Common Factor of 4444 and 4452 by matching factors method

Factors of 4444

List of positive integer factors of 4444 that divides 4444 without a remainder.

1,2,4,11,22,44,101,202,404,1111,2222,4444

Factors of 4452

List of positive integer factors of 4452 that divides 4452 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,53,84,106,159,212,318,371,636,742,1113,1484,2226,4452

Greatest Common Factor

We found the factors and prime factorization of 4444 and 4452. The biggest common factor number is the GCF number.
So the greatest common factor 4444 and 4452 is 4.

Also check out the Least Common Multiple of 4444 and 4452

Properties of GCF 4444 and 4452

(i) The GCF of 4444 and 4452 is associative

GCF of 4444 and 4452 = GCF of 4452 and 4444

Related Greatest Common Factor of 4444

Related Greatest Common Factor of 4452

Frequently Asked Questions on GCF of 4444 and 4452

1. What is the GCF of 4444 and 4452?

Answer: GCF of 4444 and 4452 is 4.

2. What are the Factors of 4444?

Answer: Factors of 4444 are 1, 2, 4, 11, 22, 44, 101, 202, 404, 1111, 2222, 4444. There are 12 integers that are factors of 4444. The greatest factor of 4444 is 4444.

3. What are the Factors of 4452?

Answer: Factors of 4452 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226, 4452. There are 24 integers that are factors of 4452. The greatest factor of 4452 is 4452.

4. How to Find the GCF of 4444 and 4452?

Answer:

Greatest Common Factor of 4444 and 4452 = 4

Step 1: Find the prime factorization of 4444

4444 = 2 x 2 x 11 x 101

Step 2: Find the prime factorization of 4452

4452 = 2 x 2 x 3 x 7 x 53

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 4444 and 4452 is 4