Greatest Common Factor of 8960 and 8967

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, 8967 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8960 and 8967 is 7.

GCF(8960,8967) = 7

GCF of 8960 and 8967

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

GCF of:
and

Greatest Common Factor of 8960 and 8967

GCF of 8960 and 8967 is 7

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 8967


3 8967
7 2989
7 427
61 61
1

Prime factors of 8967 are 3,7,61. Prime factorization of 8967 in exponential form is:

8967 = 31×72×611

∴ So by taking common prime factors GCF of 8960 and 8967 is 7

Greatest Common Factor of 8960 and 8967 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 8967

List of positive integer factors of 8967 that divides 8967 without a remainder.

1,3,7,21,49,61,147,183,427,1281,2989,8967

Greatest Common Factor

We found the factors and prime factorization of 8960 and 8967. The biggest common factor number is the GCF number.
So the greatest common factor 8960 and 8967 is 7.

Also check out the Least Common Multiple of 8960 and 8967

Properties of GCF 8960 and 8967

(i) The GCF of 8960 and 8967 is associative

GCF of 8960 and 8967 = GCF of 8967 and 8960

Related Greatest Common Factor of 8960

Related Greatest Common Factor of 8967

Frequently Asked Questions on GCF of 8960 and 8967

1. What is the GCF of 8960 and 8967?

Answer: GCF of 8960 and 8967 is 7.

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 8967?

Answer: Factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967. There are 12 integers that are factors of 8967. The greatest factor of 8967 is 8967.

4. How to Find the GCF of 8960 and 8967?

Answer:

Greatest Common Factor of 8960 and 8967 = 7

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 8967

8967 = 3 x 7 x 7 x 61

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8960 and 8967 is 7