Greatest Common Factor of 4436 and 4444

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 4436, 4444 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4436 and 4444 is 4.

GCF(4436,4444) = 4

GCF of 4436 and 4444

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

GCF of:
and

Greatest Common Factor of 4436 and 4444

GCF of 4436 and 4444 is 4

Prime Factorization of 4436


2 4436
2 2218
1109 1109
1

Prime factors of 4436 are 2,1109. Prime factorization of 4436 in exponential form is:

4436 = 22×11091

Prime Factorization of 4444


2 4444
2 2222
11 1111
101 101
1

Prime factors of 4444 are 2,11,101. Prime factorization of 4444 in exponential form is:

4444 = 22×111×1011

∴ So by taking common prime factors GCF of 4436 and 4444 is 4

Greatest Common Factor of 4436 and 4444 by matching factors method

Factors of 4436

List of positive integer factors of 4436 that divides 4436 without a remainder.

1,2,4,1109,2218,4436

Factors of 4444

List of positive integer factors of 4444 that divides 4444 without a remainder.

1,2,4,11,22,44,101,202,404,1111,2222,4444

Greatest Common Factor

We found the factors and prime factorization of 4436 and 4444. The biggest common factor number is the GCF number.
So the greatest common factor 4436 and 4444 is 4.

Also check out the Least Common Multiple of 4436 and 4444

Properties of GCF 4436 and 4444

(i) The GCF of 4436 and 4444 is associative

GCF of 4436 and 4444 = GCF of 4444 and 4436

Related Greatest Common Factor of 4436

Related Greatest Common Factor of 4444

Frequently Asked Questions on GCF of 4436 and 4444

1. What is the GCF of 4436 and 4444?

Answer: GCF of 4436 and 4444 is 4.

2. What are the Factors of 4436?

Answer: Factors of 4436 are 1, 2, 4, 1109, 2218, 4436. There are 6 integers that are factors of 4436. The greatest factor of 4436 is 4436.

3. What are the Factors of 4444?

Answer: Factors of 4444 are 1, 2, 4, 11, 22, 44, 101, 202, 404, 1111, 2222, 4444. There are 12 integers that are factors of 4444. The greatest factor of 4444 is 4444.

4. How to Find the GCF of 4436 and 4444?

Answer:

Greatest Common Factor of 4436 and 4444 = 4

Step 1: Find the prime factorization of 4436

4436 = 2 x 2 x 1109

Step 2: Find the prime factorization of 4444

4444 = 2 x 2 x 11 x 101

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4436 and 4444 is 4