Greatest Common Factor of 8960 and 8964

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, 8964 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8960 and 8964 is 4.

GCF(8960,8964) = 4

GCF of 8960 and 8964

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

GCF of:
and

Greatest Common Factor of 8960 and 8964

GCF of 8960 and 8964 is 4

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 8964


2 8964
2 4482
3 2241
3 747
3 249
83 83
1

Prime factors of 8964 are 2,3,83. Prime factorization of 8964 in exponential form is:

8964 = 22×33×831

∴ So by taking common prime factors GCF of 8960 and 8964 is 4

Greatest Common Factor of 8960 and 8964 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 8964

List of positive integer factors of 8964 that divides 8964 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,83,108,166,249,332,498,747,996,1494,2241,2988,4482,8964

Greatest Common Factor

We found the factors and prime factorization of 8960 and 8964. The biggest common factor number is the GCF number.
So the greatest common factor 8960 and 8964 is 4.

Also check out the Least Common Multiple of 8960 and 8964

Properties of GCF 8960 and 8964

(i) The GCF of 8960 and 8964 is associative

GCF of 8960 and 8964 = GCF of 8964 and 8960

Related Greatest Common Factor of 8960

Related Greatest Common Factor of 8964

Frequently Asked Questions on GCF of 8960 and 8964

1. What is the GCF of 8960 and 8964?

Answer: GCF of 8960 and 8964 is 4.

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 8964?

Answer: Factors of 8964 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 83, 108, 166, 249, 332, 498, 747, 996, 1494, 2241, 2988, 4482, 8964. There are 24 integers that are factors of 8964. The greatest factor of 8964 is 8964.

4. How to Find the GCF of 8960 and 8964?

Answer:

Greatest Common Factor of 8960 and 8964 = 4

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 8964

8964 = 2 x 2 x 3 x 3 x 3 x 83

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8960 and 8964 is 4