Greatest Common Factor of 9116 and 9120

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 9116, 9120 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9116 and 9120 is 4.

GCF(9116,9120) = 4

GCF of 9116 and 9120

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

GCF of:
and

Greatest Common Factor of 9116 and 9120

GCF of 9116 and 9120 is 4

Prime Factorization of 9116


2 9116
2 4558
43 2279
53 53
1

Prime factors of 9116 are 2,43,53. Prime factorization of 9116 in exponential form is:

9116 = 22×431×531

Prime Factorization of 9120


2 9120
2 4560
2 2280
2 1140
2 570
3 285
5 95
19 19
1

Prime factors of 9120 are 2,3,5,19. Prime factorization of 9120 in exponential form is:

9120 = 25×31×51×191

∴ So by taking common prime factors GCF of 9116 and 9120 is 4

Greatest Common Factor of 9116 and 9120 by matching factors method

Factors of 9116

List of positive integer factors of 9116 that divides 9116 without a remainder.

1,2,4,43,53,86,106,172,212,2279,4558,9116

Factors of 9120

List of positive integer factors of 9120 that divides 9120 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,32,38,40,48,57,60,76,80,95,96,114,120,152,160,190,228,240,285,304,380,456,480,570,608,760,912,1140,1520,1824,2280,3040,4560,9120

Greatest Common Factor

We found the factors and prime factorization of 9116 and 9120. The biggest common factor number is the GCF number.
So the greatest common factor 9116 and 9120 is 4.

Also check out the Least Common Multiple of 9116 and 9120

Properties of GCF 9116 and 9120

(i) The GCF of 9116 and 9120 is associative

GCF of 9116 and 9120 = GCF of 9120 and 9116

Related Greatest Common Factor of 9116

Related Greatest Common Factor of 9120

Frequently Asked Questions on GCF of 9116 and 9120

1. What is the GCF of 9116 and 9120?

Answer: GCF of 9116 and 9120 is 4.

2. What are the Factors of 9116?

Answer: Factors of 9116 are 1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116. There are 12 integers that are factors of 9116. The greatest factor of 9116 is 9116.

3. What are the Factors of 9120?

Answer: Factors of 9120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120. There are 48 integers that are factors of 9120. The greatest factor of 9120 is 9120.

4. How to Find the GCF of 9116 and 9120?

Answer:

Greatest Common Factor of 9116 and 9120 = 4

Step 1: Find the prime factorization of 9116

9116 = 2 x 2 x 43 x 53

Step 2: Find the prime factorization of 9120

9120 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19

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 9116 and 9120 is 4