Greatest Common Factor of 4438 and 4442

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 4438, 4442 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4438 and 4442 is 2.

GCF(4438,4442) = 2

GCF of 4438 and 4442

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

GCF of:
and

Greatest Common Factor of 4438 and 4442

GCF of 4438 and 4442 is 2

Prime Factorization of 4438


2 4438
7 2219
317 317
1

Prime factors of 4438 are 2,7,317. Prime factorization of 4438 in exponential form is:

4438 = 21×71×3171

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

∴ So by taking common prime factors GCF of 4438 and 4442 is 2

Greatest Common Factor of 4438 and 4442 by matching factors method

Factors of 4438

List of positive integer factors of 4438 that divides 4438 without a remainder.

1,2,7,14,317,634,2219,4438

Factors of 4442

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

1,2,2221,4442

Greatest Common Factor

We found the factors and prime factorization of 4438 and 4442. The biggest common factor number is the GCF number.
So the greatest common factor 4438 and 4442 is 2.

Also check out the Least Common Multiple of 4438 and 4442

Properties of GCF 4438 and 4442

(i) The GCF of 4438 and 4442 is associative

GCF of 4438 and 4442 = GCF of 4442 and 4438

Related Greatest Common Factor of 4438

Related Greatest Common Factor of 4442

Frequently Asked Questions on GCF of 4438 and 4442

1. What is the GCF of 4438 and 4442?

Answer: GCF of 4438 and 4442 is 2.

2. What are the Factors of 4438?

Answer: Factors of 4438 are 1, 2, 7, 14, 317, 634, 2219, 4438. There are 8 integers that are factors of 4438. The greatest factor of 4438 is 4438.

3. 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.

4. How to Find the GCF of 4438 and 4442?

Answer:

Greatest Common Factor of 4438 and 4442 = 2

Step 1: Find the prime factorization of 4438

4438 = 2 x 7 x 317

Step 2: Find the prime factorization of 4442

4442 = 2 x 2221

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 4438 and 4442 is 2