Greatest Common Factor of 442 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 442, 448 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 442 and 448 is 2.

GCF(442,448) = 2

GCF of 442 and 448

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

GCF of:
and

Greatest Common Factor of 442 and 448

GCF of 442 and 448 is 2

Prime Factorization of 442


2 442
13 221
17 17
1

Prime factors of 442 are 2,13,17. Prime factorization of 442 in exponential form is:

442 = 21×131×171

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 442 and 448 is 2

Greatest Common Factor of 442 and 448 by matching factors method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

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 442 and 448. The biggest common factor number is the GCF number.
So the greatest common factor 442 and 448 is 2.

Also check out the Least Common Multiple of 442 and 448

Properties of GCF 442 and 448

(i) The GCF of 442 and 448 is associative

GCF of 442 and 448 = GCF of 448 and 442

Related Greatest Common Factor of 442

Related Greatest Common Factor of 448

Frequently Asked Questions on GCF of 442 and 448

1. What is the GCF of 442 and 448?

Answer: GCF of 442 and 448 is 2.

2. What are the Factors of 442?

Answer: Factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442. There are 8 integers that are factors of 442. The greatest factor of 442 is 442.

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 442 and 448?

Answer:

Greatest Common Factor of 442 and 448 = 2

Step 1: Find the prime factorization of 442

442 = 2 x 13 x 17

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

Step 4: Therefore, the greatest common factor of 442 and 448 is 2