Greatest Common Factor of 4442 and 4446

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 4442, 4446 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4442 and 4446 is 2.

GCF(4442,4446) = 2

GCF of 4442 and 4446

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

GCF of:
and

Greatest Common Factor of 4442 and 4446

GCF of 4442 and 4446 is 2

Prime Factorization of 4442


2 4442
2221 2221
1

Prime factors of 4442 are 2,2221. Prime factorization of 4442 in exponential form is:

4442 = 21×22211

Prime Factorization of 4446


2 4446
3 2223
3 741
13 247
19 19
1

Prime factors of 4446 are 2,3,13,19. Prime factorization of 4446 in exponential form is:

4446 = 21×32×131×191

∴ So by taking common prime factors GCF of 4442 and 4446 is 2

Greatest Common Factor of 4442 and 4446 by matching factors method

Factors of 4442

List of positive integer factors of 4442 that divides 4442 without a remainder.

1,2,2221,4442

Factors of 4446

List of positive integer factors of 4446 that divides 4446 without a remainder.

1,2,3,6,9,13,18,19,26,38,39,57,78,114,117,171,234,247,342,494,741,1482,2223,4446

Greatest Common Factor

We found the factors and prime factorization of 4442 and 4446. The biggest common factor number is the GCF number.
So the greatest common factor 4442 and 4446 is 2.

Also check out the Least Common Multiple of 4442 and 4446

Properties of GCF 4442 and 4446

(i) The GCF of 4442 and 4446 is associative

GCF of 4442 and 4446 = GCF of 4446 and 4442

Related Greatest Common Factor of 4442

Related Greatest Common Factor of 4446

Frequently Asked Questions on GCF of 4442 and 4446

1. What is the GCF of 4442 and 4446?

Answer: GCF of 4442 and 4446 is 2.

2. What are the Factors of 4442?

Answer: Factors of 4442 are 1, 2, 2221, 4442. There are 4 integers that are factors of 4442. The greatest factor of 4442 is 4442.

3. What are the Factors of 4446?

Answer: Factors of 4446 are 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223, 4446. There are 24 integers that are factors of 4446. The greatest factor of 4446 is 4446.

4. How to Find the GCF of 4442 and 4446?

Answer:

Greatest Common Factor of 4442 and 4446 = 2

Step 1: Find the prime factorization of 4442

4442 = 2 x 2221

Step 2: Find the prime factorization of 4446

4446 = 2 x 3 x 3 x 13 x 19

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 4442 and 4446 is 2