Greatest Common Factor of 440 and 448

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 440, 448 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 440 and 448 is 8.

GCF(440,448) = 8

GCF of 440 and 448

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

GCF of:
and

Greatest Common Factor of 440 and 448

GCF of 440 and 448 is 8

Prime Factorization of 440


2 440
2 220
2 110
5 55
11 11
1

Prime factors of 440 are 2,5,11. Prime factorization of 440 in exponential form is:

440 = 23×51×111

Prime Factorization of 448


2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 448 are 2,7. Prime factorization of 448 in exponential form is:

448 = 26×71

∴ So by taking common prime factors GCF of 440 and 448 is 8

Greatest Common Factor of 440 and 448 by matching factors method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors and prime factorization of 440 and 448. The biggest common factor number is the GCF number.
So the greatest common factor 440 and 448 is 8.

Also check out the Least Common Multiple of 440 and 448

Properties of GCF 440 and 448

(i) The GCF of 440 and 448 is associative

GCF of 440 and 448 = GCF of 448 and 440

Related Greatest Common Factor of 440

Related Greatest Common Factor of 448

Frequently Asked Questions on GCF of 440 and 448

1. What is the GCF of 440 and 448?

Answer: GCF of 440 and 448 is 8.

2. What are the Factors of 440?

Answer: Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. There are 16 integers that are factors of 440. The greatest factor of 440 is 440.

3. What are the Factors of 448?

Answer: Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448. There are 14 integers that are factors of 448. The greatest factor of 448 is 448.

4. How to Find the GCF of 440 and 448?

Answer:

Greatest Common Factor of 440 and 448 = 8

Step 1: Find the prime factorization of 440

440 = 2 x 2 x 2 x 5 x 11

Step 2: Find the prime factorization of 448

448 = 2 x 2 x 2 x 2 x 2 x 2 x 7

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 440 and 448 is 8