Greatest Common Factor of 8448 and 8453

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, 8453 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8448 and 8453 is 1.

GCF(8448,8453) = 1

GCF of 8448 and 8453

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

GCF of:
and

Greatest Common Factor of 8448 and 8453

GCF of 8448 and 8453 is 1

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 8453


79 8453
107 107
1

Prime factors of 8453 are 79,107. Prime factorization of 8453 in exponential form is:

8453 = 791×1071

∴ So by taking common prime factors GCF of 8448 and 8453 is 1

Greatest Common Factor of 8448 and 8453 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 8453

List of positive integer factors of 8453 that divides 8453 without a remainder.

1,79,107,8453

Greatest Common Factor

We found the factors and prime factorization of 8448 and 8453. The biggest common factor number is the GCF number.
So the greatest common factor 8448 and 8453 is 1.

Also check out the Least Common Multiple of 8448 and 8453

Properties of GCF 8448 and 8453

(i) The GCF of 8448 and 8453 is associative

GCF of 8448 and 8453 = GCF of 8453 and 8448

Related Greatest Common Factor of 8448

Related Greatest Common Factor of 8453

Frequently Asked Questions on GCF of 8448 and 8453

1. What is the GCF of 8448 and 8453?

Answer: GCF of 8448 and 8453 is 1.

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 8453?

Answer: Factors of 8453 are 1, 79, 107, 8453. There are 4 integers that are factors of 8453. The greatest factor of 8453 is 8453.

4. How to Find the GCF of 8448 and 8453?

Answer:

Greatest Common Factor of 8448 and 8453 = 1

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 8453

8453 = 79 x 107

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 8448 and 8453 is 1