Greatest Common Factor of 8954 and 8960

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 8954, 8960 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8954 and 8960 is 2.

GCF(8954,8960) = 2

GCF of 8954 and 8960

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

GCF of:
and

Greatest Common Factor of 8954 and 8960

GCF of 8954 and 8960 is 2

Prime Factorization of 8954


2 8954
11 4477
11 407
37 37
1

Prime factors of 8954 are 2,11,37. Prime factorization of 8954 in exponential form is:

8954 = 21×112×371

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

∴ So by taking common prime factors GCF of 8954 and 8960 is 2

Greatest Common Factor of 8954 and 8960 by matching factors method

Factors of 8954

List of positive integer factors of 8954 that divides 8954 without a remainder.

1,2,11,22,37,74,121,242,407,814,4477,8954

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

Greatest Common Factor

We found the factors and prime factorization of 8954 and 8960. The biggest common factor number is the GCF number.
So the greatest common factor 8954 and 8960 is 2.

Also check out the Least Common Multiple of 8954 and 8960

Properties of GCF 8954 and 8960

(i) The GCF of 8954 and 8960 is associative

GCF of 8954 and 8960 = GCF of 8960 and 8954

Related Greatest Common Factor of 8954

Related Greatest Common Factor of 8960

Frequently Asked Questions on GCF of 8954 and 8960

1. What is the GCF of 8954 and 8960?

Answer: GCF of 8954 and 8960 is 2.

2. What are the Factors of 8954?

Answer: Factors of 8954 are 1, 2, 11, 22, 37, 74, 121, 242, 407, 814, 4477, 8954. There are 12 integers that are factors of 8954. The greatest factor of 8954 is 8954.

3. 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.

4. How to Find the GCF of 8954 and 8960?

Answer:

Greatest Common Factor of 8954 and 8960 = 2

Step 1: Find the prime factorization of 8954

8954 = 2 x 11 x 11 x 37

Step 2: 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 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 8954 and 8960 is 2