Greatest Common Factor of 6436 and 6444

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 6436, 6444 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6436 and 6444 is 4.

GCF(6436,6444) = 4

GCF of 6436 and 6444

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

GCF of:
and

Greatest Common Factor of 6436 and 6444

GCF of 6436 and 6444 is 4

Prime Factorization of 6436


2 6436
2 3218
1609 1609
1

Prime factors of 6436 are 2,1609. Prime factorization of 6436 in exponential form is:

6436 = 22×16091

Prime Factorization of 6444


2 6444
2 3222
3 1611
3 537
179 179
1

Prime factors of 6444 are 2,3,179. Prime factorization of 6444 in exponential form is:

6444 = 22×32×1791

∴ So by taking common prime factors GCF of 6436 and 6444 is 4

Greatest Common Factor of 6436 and 6444 by matching factors method

Factors of 6436

List of positive integer factors of 6436 that divides 6436 without a remainder.

1,2,4,1609,3218,6436

Factors of 6444

List of positive integer factors of 6444 that divides 6444 without a remainder.

1,2,3,4,6,9,12,18,36,179,358,537,716,1074,1611,2148,3222,6444

Greatest Common Factor

We found the factors and prime factorization of 6436 and 6444. The biggest common factor number is the GCF number.
So the greatest common factor 6436 and 6444 is 4.

Also check out the Least Common Multiple of 6436 and 6444

Properties of GCF 6436 and 6444

(i) The GCF of 6436 and 6444 is associative

GCF of 6436 and 6444 = GCF of 6444 and 6436

Related Greatest Common Factor of 6436

Related Greatest Common Factor of 6444

Frequently Asked Questions on GCF of 6436 and 6444

1. What is the GCF of 6436 and 6444?

Answer: GCF of 6436 and 6444 is 4.

2. What are the Factors of 6436?

Answer: Factors of 6436 are 1, 2, 4, 1609, 3218, 6436. There are 6 integers that are factors of 6436. The greatest factor of 6436 is 6436.

3. What are the Factors of 6444?

Answer: Factors of 6444 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 179, 358, 537, 716, 1074, 1611, 2148, 3222, 6444. There are 18 integers that are factors of 6444. The greatest factor of 6444 is 6444.

4. How to Find the GCF of 6436 and 6444?

Answer:

Greatest Common Factor of 6436 and 6444 = 4

Step 1: Find the prime factorization of 6436

6436 = 2 x 2 x 1609

Step 2: Find the prime factorization of 6444

6444 = 2 x 2 x 3 x 3 x 179

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 6436 and 6444 is 4