Greatest Common Factor of 8448 and 8454

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 8448, 8454 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8448 and 8454 is 6.

GCF(8448,8454) = 6

GCF of 8448 and 8454

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

GCF of:
and

Greatest Common Factor of 8448 and 8454

GCF of 8448 and 8454 is 6

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

Prime Factorization of 8454


2 8454
3 4227
1409 1409
1

Prime factors of 8454 are 2,3,1409. Prime factorization of 8454 in exponential form is:

8454 = 21×31×14091

∴ So by taking common prime factors GCF of 8448 and 8454 is 6

Greatest Common Factor of 8448 and 8454 by matching factors method

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

Factors of 8454

List of positive integer factors of 8454 that divides 8454 without a remainder.

1,2,3,6,1409,2818,4227,8454

Greatest Common Factor

We found the factors and prime factorization of 8448 and 8454. The biggest common factor number is the GCF number.
So the greatest common factor 8448 and 8454 is 6.

Also check out the Least Common Multiple of 8448 and 8454

Properties of GCF 8448 and 8454

(i) The GCF of 8448 and 8454 is associative

GCF of 8448 and 8454 = GCF of 8454 and 8448

Related Greatest Common Factor of 8448

Related Greatest Common Factor of 8454

Frequently Asked Questions on GCF of 8448 and 8454

1. What is the GCF of 8448 and 8454?

Answer: GCF of 8448 and 8454 is 6.

2. 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.

3. What are the Factors of 8454?

Answer: Factors of 8454 are 1, 2, 3, 6, 1409, 2818, 4227, 8454. There are 8 integers that are factors of 8454. The greatest factor of 8454 is 8454.

4. How to Find the GCF of 8448 and 8454?

Answer:

Greatest Common Factor of 8448 and 8454 = 6

Step 1: 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 2: Find the prime factorization of 8454

8454 = 2 x 3 x 1409

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8448 and 8454 is 6