Greatest Common Factor of 9108 and 9114

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 9108, 9114 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9108 and 9114 is 6.

GCF(9108,9114) = 6

GCF of 9108 and 9114

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

GCF of:
and

Greatest Common Factor of 9108 and 9114

GCF of 9108 and 9114 is 6

Prime Factorization of 9108


2 9108
2 4554
3 2277
3 759
11 253
23 23
1

Prime factors of 9108 are 2,3,11,23. Prime factorization of 9108 in exponential form is:

9108 = 22×32×111×231

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

∴ So by taking common prime factors GCF of 9108 and 9114 is 6

Greatest Common Factor of 9108 and 9114 by matching factors method

Factors of 9108

List of positive integer factors of 9108 that divides 9108 without a remainder.

1,2,3,4,6,9,11,12,18,22,23,33,36,44,46,66,69,92,99,132,138,198,207,253,276,396,414,506,759,828,1012,1518,2277,3036,4554,9108

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

Greatest Common Factor

We found the factors and prime factorization of 9108 and 9114. The biggest common factor number is the GCF number.
So the greatest common factor 9108 and 9114 is 6.

Also check out the Least Common Multiple of 9108 and 9114

Properties of GCF 9108 and 9114

(i) The GCF of 9108 and 9114 is associative

GCF of 9108 and 9114 = GCF of 9114 and 9108

Related Greatest Common Factor of 9108

Related Greatest Common Factor of 9114

Frequently Asked Questions on GCF of 9108 and 9114

1. What is the GCF of 9108 and 9114?

Answer: GCF of 9108 and 9114 is 6.

2. What are the Factors of 9108?

Answer: Factors of 9108 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108. There are 36 integers that are factors of 9108. The greatest factor of 9108 is 9108.

3. 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.

4. How to Find the GCF of 9108 and 9114?

Answer:

Greatest Common Factor of 9108 and 9114 = 6

Step 1: Find the prime factorization of 9108

9108 = 2 x 2 x 3 x 3 x 11 x 23

Step 2: Find the prime factorization of 9114

9114 = 2 x 3 x 7 x 7 x 31

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 9108 and 9114 is 6