Greatest Common Factor of 8444 and 8448

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 8444, 8448 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8444 and 8448 is 4.

GCF(8444,8448) = 4

GCF of 8444 and 8448

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

GCF of:
and

Greatest Common Factor of 8444 and 8448

GCF of 8444 and 8448 is 4

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

Prime Factorization of 8448


2 8448
2 4224
2 2112
2 1056
2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 8448 are 2,3,11. Prime factorization of 8448 in exponential form is:

8448 = 28×31×111

∴ So by taking common prime factors GCF of 8444 and 8448 is 4

Greatest Common Factor of 8444 and 8448 by matching factors method

Factors of 8444

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

1,2,4,2111,4222,8444

Factors of 8448

List of positive integer factors of 8448 that divides 8448 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,256,264,352,384,528,704,768,1056,1408,2112,2816,4224,8448

Greatest Common Factor

We found the factors and prime factorization of 8444 and 8448. The biggest common factor number is the GCF number.
So the greatest common factor 8444 and 8448 is 4.

Also check out the Least Common Multiple of 8444 and 8448

Properties of GCF 8444 and 8448

(i) The GCF of 8444 and 8448 is associative

GCF of 8444 and 8448 = GCF of 8448 and 8444

Related Greatest Common Factor of 8444

Related Greatest Common Factor of 8448

Frequently Asked Questions on GCF of 8444 and 8448

1. What is the GCF of 8444 and 8448?

Answer: GCF of 8444 and 8448 is 4.

2. 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.

3. What are the Factors of 8448?

Answer: Factors of 8448 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 528, 704, 768, 1056, 1408, 2112, 2816, 4224, 8448. There are 36 integers that are factors of 8448. The greatest factor of 8448 is 8448.

4. How to Find the GCF of 8444 and 8448?

Answer:

Greatest Common Factor of 8444 and 8448 = 4

Step 1: Find the prime factorization of 8444

8444 = 2 x 2 x 2111

Step 2: Find the prime factorization of 8448

8448 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11

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 8444 and 8448 is 4