Greatest Common Factor of 8960 and 8966

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 8960, 8966 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8960 and 8966 is 2.

GCF(8960,8966) = 2

GCF of 8960 and 8966

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

GCF of:
and

Greatest Common Factor of 8960 and 8966

GCF of 8960 and 8966 is 2

Prime Factorization of 8960


2 8960
2 4480
2 2240
2 1120
2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 8960 are 2,5,7. Prime factorization of 8960 in exponential form is:

8960 = 28×51×71

Prime Factorization of 8966


2 8966
4483 4483
1

Prime factors of 8966 are 2,4483. Prime factorization of 8966 in exponential form is:

8966 = 21×44831

∴ So by taking common prime factors GCF of 8960 and 8966 is 2

Greatest Common Factor of 8960 and 8966 by matching factors method

Factors of 8960

List of positive integer factors of 8960 that divides 8960 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,256,280,320,448,560,640,896,1120,1280,1792,2240,4480,8960

Factors of 8966

List of positive integer factors of 8966 that divides 8966 without a remainder.

1,2,4483,8966

Greatest Common Factor

We found the factors and prime factorization of 8960 and 8966. The biggest common factor number is the GCF number.
So the greatest common factor 8960 and 8966 is 2.

Also check out the Least Common Multiple of 8960 and 8966

Properties of GCF 8960 and 8966

(i) The GCF of 8960 and 8966 is associative

GCF of 8960 and 8966 = GCF of 8966 and 8960

Related Greatest Common Factor of 8960

Related Greatest Common Factor of 8966

Frequently Asked Questions on GCF of 8960 and 8966

1. What is the GCF of 8960 and 8966?

Answer: GCF of 8960 and 8966 is 2.

2. What are the Factors of 8960?

Answer: Factors of 8960 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960. There are 36 integers that are factors of 8960. The greatest factor of 8960 is 8960.

3. What are the Factors of 8966?

Answer: Factors of 8966 are 1, 2, 4483, 8966. There are 4 integers that are factors of 8966. The greatest factor of 8966 is 8966.

4. How to Find the GCF of 8960 and 8966?

Answer:

Greatest Common Factor of 8960 and 8966 = 2

Step 1: Find the prime factorization of 8960

8960 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 8966

8966 = 2 x 4483

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 8960 and 8966 is 2