Greatest Common Factor of 9114 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 9114, 9120 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9114 and 9120 is 6.

GCF(9114,9120) = 6

GCF of 9114 and 9120

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

GCF of:
and

Greatest Common Factor of 9114 and 9120

GCF of 9114 and 9120 is 6

Prime Factorization of 9114


2 9114
3 4557
7 1519
7 217
31 31
1

Prime factors of 9114 are 2,3,7,31. Prime factorization of 9114 in exponential form is:

9114 = 21×31×72×311

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 9114 and 9120 is 6

Greatest Common Factor of 9114 and 9120 by matching factors method

Factors of 9114

List of positive integer factors of 9114 that divides 9114 without a remainder.

1,2,3,6,7,14,21,31,42,49,62,93,98,147,186,217,294,434,651,1302,1519,3038,4557,9114

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 9114 and 9120. The biggest common factor number is the GCF number.
So the greatest common factor 9114 and 9120 is 6.

Also check out the Least Common Multiple of 9114 and 9120

Properties of GCF 9114 and 9120

(i) The GCF of 9114 and 9120 is associative

GCF of 9114 and 9120 = GCF of 9120 and 9114

Related Greatest Common Factor of 9114

Related Greatest Common Factor of 9120

Frequently Asked Questions on GCF of 9114 and 9120

1. What is the GCF of 9114 and 9120?

Answer: GCF of 9114 and 9120 is 6.

2. What are the Factors of 9114?

Answer: Factors of 9114 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 49, 62, 93, 98, 147, 186, 217, 294, 434, 651, 1302, 1519, 3038, 4557, 9114. There are 24 integers that are factors of 9114. The greatest factor of 9114 is 9114.

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 9114 and 9120?

Answer:

Greatest Common Factor of 9114 and 9120 = 6

Step 1: Find the prime factorization of 9114

9114 = 2 x 3 x 7 x 7 x 31

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 3 = 6

Step 4: Therefore, the greatest common factor of 9114 and 9120 is 6