Greatest Common Factor of 8448 and 8451

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, 8451 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8448 and 8451 is 3.

GCF(8448,8451) = 3

GCF of 8448 and 8451

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

GCF of:
and

Greatest Common Factor of 8448 and 8451

GCF of 8448 and 8451 is 3

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 8451


3 8451
3 2817
3 939
313 313
1

Prime factors of 8451 are 3,313. Prime factorization of 8451 in exponential form is:

8451 = 33×3131

∴ So by taking common prime factors GCF of 8448 and 8451 is 3

Greatest Common Factor of 8448 and 8451 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 8451

List of positive integer factors of 8451 that divides 8451 without a remainder.

1,3,9,27,313,939,2817,8451

Greatest Common Factor

We found the factors and prime factorization of 8448 and 8451. The biggest common factor number is the GCF number.
So the greatest common factor 8448 and 8451 is 3.

Also check out the Least Common Multiple of 8448 and 8451

Properties of GCF 8448 and 8451

(i) The GCF of 8448 and 8451 is associative

GCF of 8448 and 8451 = GCF of 8451 and 8448

Related Greatest Common Factor of 8448

Related Greatest Common Factor of 8451

Frequently Asked Questions on GCF of 8448 and 8451

1. What is the GCF of 8448 and 8451?

Answer: GCF of 8448 and 8451 is 3.

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 8451?

Answer: Factors of 8451 are 1, 3, 9, 27, 313, 939, 2817, 8451. There are 8 integers that are factors of 8451. The greatest factor of 8451 is 8451.

4. How to Find the GCF of 8448 and 8451?

Answer:

Greatest Common Factor of 8448 and 8451 = 3

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 8451

8451 = 3 x 3 x 3 x 313

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8448 and 8451 is 3