Greatest Common Factor of 8448 and 8450

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, 8450 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8448 and 8450 is 2.

GCF(8448,8450) = 2

GCF of 8448 and 8450

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

GCF of:
and

Greatest Common Factor of 8448 and 8450

GCF of 8448 and 8450 is 2

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 8450


2 8450
5 4225
5 845
13 169
13 13
1

Prime factors of 8450 are 2,5,13. Prime factorization of 8450 in exponential form is:

8450 = 21×52×132

∴ So by taking common prime factors GCF of 8448 and 8450 is 2

Greatest Common Factor of 8448 and 8450 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 8450

List of positive integer factors of 8450 that divides 8450 without a remainder.

1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450

Greatest Common Factor

We found the factors and prime factorization of 8448 and 8450. The biggest common factor number is the GCF number.
So the greatest common factor 8448 and 8450 is 2.

Also check out the Least Common Multiple of 8448 and 8450

Properties of GCF 8448 and 8450

(i) The GCF of 8448 and 8450 is associative

GCF of 8448 and 8450 = GCF of 8450 and 8448

Related Greatest Common Factor of 8448

Related Greatest Common Factor of 8450

Frequently Asked Questions on GCF of 8448 and 8450

1. What is the GCF of 8448 and 8450?

Answer: GCF of 8448 and 8450 is 2.

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 8450?

Answer: Factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450. There are 18 integers that are factors of 8450. The greatest factor of 8450 is 8450.

4. How to Find the GCF of 8448 and 8450?

Answer:

Greatest Common Factor of 8448 and 8450 = 2

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 8450

8450 = 2 x 5 x 5 x 13 x 13

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8448 and 8450 is 2