Greatest Common Factor of 4448 and 4456

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 4448, 4456 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4448 and 4456 is 8.

GCF(4448,4456) = 8

GCF of 4448 and 4456

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

GCF of:
and

Greatest Common Factor of 4448 and 4456

GCF of 4448 and 4456 is 8

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

Prime Factorization of 4456


2 4456
2 2228
2 1114
557 557
1

Prime factors of 4456 are 2,557. Prime factorization of 4456 in exponential form is:

4456 = 23×5571

∴ So by taking common prime factors GCF of 4448 and 4456 is 8

Greatest Common Factor of 4448 and 4456 by matching factors method

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

Factors of 4456

List of positive integer factors of 4456 that divides 4456 without a remainder.

1,2,4,8,557,1114,2228,4456

Greatest Common Factor

We found the factors and prime factorization of 4448 and 4456. The biggest common factor number is the GCF number.
So the greatest common factor 4448 and 4456 is 8.

Also check out the Least Common Multiple of 4448 and 4456

Properties of GCF 4448 and 4456

(i) The GCF of 4448 and 4456 is associative

GCF of 4448 and 4456 = GCF of 4456 and 4448

Related Greatest Common Factor of 4448

Related Greatest Common Factor of 4456

Frequently Asked Questions on GCF of 4448 and 4456

1. What is the GCF of 4448 and 4456?

Answer: GCF of 4448 and 4456 is 8.

2. 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.

3. What are the Factors of 4456?

Answer: Factors of 4456 are 1, 2, 4, 8, 557, 1114, 2228, 4456. There are 8 integers that are factors of 4456. The greatest factor of 4456 is 4456.

4. How to Find the GCF of 4448 and 4456?

Answer:

Greatest Common Factor of 4448 and 4456 = 8

Step 1: Find the prime factorization of 4448

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

Step 2: Find the prime factorization of 4456

4456 = 2 x 2 x 2 x 557

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4448 and 4456 is 8