Greatest Common Factor of 440 and 442

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

Greatest common factor (GCF) of 440 and 442 is 2.

GCF(440,442) = 2

GCF of 440 and 442

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

GCF of:
and

Greatest Common Factor of 440 and 442

GCF of 440 and 442 is 2

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 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

∴ So by taking common prime factors GCF of 440 and 442 is 2

Greatest Common Factor of 440 and 442 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 442

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

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

Greatest Common Factor

We found the factors and prime factorization of 440 and 442. The biggest common factor number is the GCF number.
So the greatest common factor 440 and 442 is 2.

Also check out the Least Common Multiple of 440 and 442

Properties of GCF 440 and 442

(i) The GCF of 440 and 442 is associative

GCF of 440 and 442 = GCF of 442 and 440

Related Greatest Common Factor of 440

Related Greatest Common Factor of 442

Frequently Asked Questions on GCF of 440 and 442

1. What is the GCF of 440 and 442?

Answer: GCF of 440 and 442 is 2.

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 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.

4. How to Find the GCF of 440 and 442?

Answer:

Greatest Common Factor of 440 and 442 = 2

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 442

442 = 2 x 13 x 17

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 440 and 442 is 2