Greatest Common Factor of 4444 and 4448

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, 4448 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4444 and 4448 is 4.

GCF(4444,4448) = 4

GCF of 4444 and 4448

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

GCF of:
and

Greatest Common Factor of 4444 and 4448

GCF of 4444 and 4448 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 4448


2 4448
2 2224
2 1112
2 556
2 278
139 139
1

Prime factors of 4448 are 2,139. Prime factorization of 4448 in exponential form is:

4448 = 25×1391

∴ So by taking common prime factors GCF of 4444 and 4448 is 4

Greatest Common Factor of 4444 and 4448 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 4448

List of positive integer factors of 4448 that divides 4448 without a remainder.

1,2,4,8,16,32,139,278,556,1112,2224,4448

Greatest Common Factor

We found the factors and prime factorization of 4444 and 4448. The biggest common factor number is the GCF number.
So the greatest common factor 4444 and 4448 is 4.

Also check out the Least Common Multiple of 4444 and 4448

Properties of GCF 4444 and 4448

(i) The GCF of 4444 and 4448 is associative

GCF of 4444 and 4448 = GCF of 4448 and 4444

Related Greatest Common Factor of 4444

Related Greatest Common Factor of 4448

Frequently Asked Questions on GCF of 4444 and 4448

1. What is the GCF of 4444 and 4448?

Answer: GCF of 4444 and 4448 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 4448?

Answer: Factors of 4448 are 1, 2, 4, 8, 16, 32, 139, 278, 556, 1112, 2224, 4448. There are 12 integers that are factors of 4448. The greatest factor of 4448 is 4448.

4. How to Find the GCF of 4444 and 4448?

Answer:

Greatest Common Factor of 4444 and 4448 = 4

Step 1: Find the prime factorization of 4444

4444 = 2 x 2 x 11 x 101

Step 2: Find the prime factorization of 4448

4448 = 2 x 2 x 2 x 2 x 2 x 139

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 4448 is 4