Greatest Common Factor of 4448 and 4454

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, 4454 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4448 and 4454 is 2.

GCF(4448,4454) = 2

GCF of 4448 and 4454

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

GCF of:
and

Greatest Common Factor of 4448 and 4454

GCF of 4448 and 4454 is 2

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 4454


2 4454
17 2227
131 131
1

Prime factors of 4454 are 2,17,131. Prime factorization of 4454 in exponential form is:

4454 = 21×171×1311

∴ So by taking common prime factors GCF of 4448 and 4454 is 2

Greatest Common Factor of 4448 and 4454 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 4454

List of positive integer factors of 4454 that divides 4454 without a remainder.

1,2,17,34,131,262,2227,4454

Greatest Common Factor

We found the factors and prime factorization of 4448 and 4454. The biggest common factor number is the GCF number.
So the greatest common factor 4448 and 4454 is 2.

Also check out the Least Common Multiple of 4448 and 4454

Properties of GCF 4448 and 4454

(i) The GCF of 4448 and 4454 is associative

GCF of 4448 and 4454 = GCF of 4454 and 4448

Related Greatest Common Factor of 4448

Related Greatest Common Factor of 4454

Frequently Asked Questions on GCF of 4448 and 4454

1. What is the GCF of 4448 and 4454?

Answer: GCF of 4448 and 4454 is 2.

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 4454?

Answer: Factors of 4454 are 1, 2, 17, 34, 131, 262, 2227, 4454. There are 8 integers that are factors of 4454. The greatest factor of 4454 is 4454.

4. How to Find the GCF of 4448 and 4454?

Answer:

Greatest Common Factor of 4448 and 4454 = 2

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 4454

4454 = 2 x 17 x 131

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4448 and 4454 is 2