Greatest Common Factor of 8436 and 8444

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 8436, 8444 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8436 and 8444 is 4.

GCF(8436,8444) = 4

GCF of 8436 and 8444

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

GCF of:
and

Greatest Common Factor of 8436 and 8444

GCF of 8436 and 8444 is 4

Prime Factorization of 8436


2 8436
2 4218
3 2109
19 703
37 37
1

Prime factors of 8436 are 2,3,19,37. Prime factorization of 8436 in exponential form is:

8436 = 22×31×191×371

Prime Factorization of 8444


2 8444
2 4222
2111 2111
1

Prime factors of 8444 are 2,2111. Prime factorization of 8444 in exponential form is:

8444 = 22×21111

∴ So by taking common prime factors GCF of 8436 and 8444 is 4

Greatest Common Factor of 8436 and 8444 by matching factors method

Factors of 8436

List of positive integer factors of 8436 that divides 8436 without a remainder.

1,2,3,4,6,12,19,37,38,57,74,76,111,114,148,222,228,444,703,1406,2109,2812,4218,8436

Factors of 8444

List of positive integer factors of 8444 that divides 8444 without a remainder.

1,2,4,2111,4222,8444

Greatest Common Factor

We found the factors and prime factorization of 8436 and 8444. The biggest common factor number is the GCF number.
So the greatest common factor 8436 and 8444 is 4.

Also check out the Least Common Multiple of 8436 and 8444

Properties of GCF 8436 and 8444

(i) The GCF of 8436 and 8444 is associative

GCF of 8436 and 8444 = GCF of 8444 and 8436

Related Greatest Common Factor of 8436

Related Greatest Common Factor of 8444

Frequently Asked Questions on GCF of 8436 and 8444

1. What is the GCF of 8436 and 8444?

Answer: GCF of 8436 and 8444 is 4.

2. What are the Factors of 8436?

Answer: Factors of 8436 are 1, 2, 3, 4, 6, 12, 19, 37, 38, 57, 74, 76, 111, 114, 148, 222, 228, 444, 703, 1406, 2109, 2812, 4218, 8436. There are 24 integers that are factors of 8436. The greatest factor of 8436 is 8436.

3. What are the Factors of 8444?

Answer: Factors of 8444 are 1, 2, 4, 2111, 4222, 8444. There are 6 integers that are factors of 8444. The greatest factor of 8444 is 8444.

4. How to Find the GCF of 8436 and 8444?

Answer:

Greatest Common Factor of 8436 and 8444 = 4

Step 1: Find the prime factorization of 8436

8436 = 2 x 2 x 3 x 19 x 37

Step 2: Find the prime factorization of 8444

8444 = 2 x 2 x 2111

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 8436 and 8444 is 4