Greatest Common Factor of 8443 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 8443, 8448 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8443 and 8448 is 1.

GCF(8443,8448) = 1

GCF of 8443 and 8448

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

GCF of:
and

Greatest Common Factor of 8443 and 8448

GCF of 8443 and 8448 is 1

Prime Factorization of 8443


8443 8443
1

Prime factors of 8443 are 8443. Prime factorization of 8443 in exponential form is:

8443 = 84431

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.Prime factorization of 8448 in exponential form is:

8448 = 28×31×111

∴ So by taking common prime factors GCF of 8443 and 8448 is 1

Greatest Common Factor of 8443 and 8448 by matching factors method

Factors of 8443

List of positive integer factors of 8443 that divides 8443 without a remainder.

1,8443

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 8443 and 8448. The biggest common factor number is the GCF number.
So the greatest common factor 8443 and 8448 is 1.

Also check out the Least Common Multiple of 8443 and 8448

Properties of GCF 8443 and 8448

(i) The GCF of 8443 and 8448 is associative

GCF of 8443 and 8448 = GCF of 8448 and 8443

Frequently Asked Questions on GCF of 8443 and 8448

1. What is the GCF of 8443 and 8448?

Answer: GCF of 8443 and 8448 is 1.

2. What are the Factors of 8443?

Answer: Factors of 8443 are 1, 8443. There are 2 integers that are factors of 8443. The greatest factor of 8443 is 8443.

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 8443 and 8448?

Answer:

Greatest Common Factor of 8443 and 8448 = 1

Step 1: Find the prime factorization of 8443

8443 = 8443

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 = = 1

Step 4: Therefore, the greatest common factor of 8443 and 8448 is 1