Greatest Common Factor of 4434 and 4438

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 4434, 4438 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4434 and 4438 is 2.

GCF(4434,4438) = 2

GCF of 4434 and 4438

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

GCF of:
and

Greatest Common Factor of 4434 and 4438

GCF of 4434 and 4438 is 2

Prime Factorization of 4434


2 4434
3 2217
739 739
1

Prime factors of 4434 are 2,3,739. Prime factorization of 4434 in exponential form is:

4434 = 21×31×7391

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

∴ So by taking common prime factors GCF of 4434 and 4438 is 2

Greatest Common Factor of 4434 and 4438 by matching factors method

Factors of 4434

List of positive integer factors of 4434 that divides 4434 without a remainder.

1,2,3,6,739,1478,2217,4434

Factors of 4438

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

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

Greatest Common Factor

We found the factors and prime factorization of 4434 and 4438. The biggest common factor number is the GCF number.
So the greatest common factor 4434 and 4438 is 2.

Also check out the Least Common Multiple of 4434 and 4438

Properties of GCF 4434 and 4438

(i) The GCF of 4434 and 4438 is associative

GCF of 4434 and 4438 = GCF of 4438 and 4434

Related Greatest Common Factor of 4434

Related Greatest Common Factor of 4438

Frequently Asked Questions on GCF of 4434 and 4438

1. What is the GCF of 4434 and 4438?

Answer: GCF of 4434 and 4438 is 2.

2. What are the Factors of 4434?

Answer: Factors of 4434 are 1, 2, 3, 6, 739, 1478, 2217, 4434. There are 8 integers that are factors of 4434. The greatest factor of 4434 is 4434.

3. 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.

4. How to Find the GCF of 4434 and 4438?

Answer:

Greatest Common Factor of 4434 and 4438 = 2

Step 1: Find the prime factorization of 4434

4434 = 2 x 3 x 739

Step 2: Find the prime factorization of 4438

4438 = 2 x 7 x 317

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 4434 and 4438 is 2