Greatest Common Factor of 9114 and 9117

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, 9117 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9114 and 9117 is 3.

GCF(9114,9117) = 3

GCF of 9114 and 9117

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

GCF of:
and

Greatest Common Factor of 9114 and 9117

GCF of 9114 and 9117 is 3

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 9117


3 9117
3 3039
1013 1013
1

Prime factors of 9117 are 3,1013. Prime factorization of 9117 in exponential form is:

9117 = 32×10131

∴ So by taking common prime factors GCF of 9114 and 9117 is 3

Greatest Common Factor of 9114 and 9117 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 9117

List of positive integer factors of 9117 that divides 9117 without a remainder.

1,3,9,1013,3039,9117

Greatest Common Factor

We found the factors and prime factorization of 9114 and 9117. The biggest common factor number is the GCF number.
So the greatest common factor 9114 and 9117 is 3.

Also check out the Least Common Multiple of 9114 and 9117

Properties of GCF 9114 and 9117

(i) The GCF of 9114 and 9117 is associative

GCF of 9114 and 9117 = GCF of 9117 and 9114

Related Greatest Common Factor of 9114

Related Greatest Common Factor of 9117

Frequently Asked Questions on GCF of 9114 and 9117

1. What is the GCF of 9114 and 9117?

Answer: GCF of 9114 and 9117 is 3.

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 9117?

Answer: Factors of 9117 are 1, 3, 9, 1013, 3039, 9117. There are 6 integers that are factors of 9117. The greatest factor of 9117 is 9117.

4. How to Find the GCF of 9114 and 9117?

Answer:

Greatest Common Factor of 9114 and 9117 = 3

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 9117

9117 = 3 x 3 x 1013

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9114 and 9117 is 3