Greatest Common Factor of 9107 and 9110

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 9107, 9110 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9107 and 9110 is 1.

GCF(9107,9110) = 1

GCF of 9107 and 9110

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

GCF of:
and

Greatest Common Factor of 9107 and 9110

GCF of 9107 and 9110 is 1

Prime Factorization of 9107


7 9107
1301 1301
1

Prime factors of 9107 are 7,1301. Prime factorization of 9107 in exponential form is:

9107 = 71×13011

Prime Factorization of 9110


2 9110
5 4555
911 911
1

Prime factors of 9110 are 2,5,911. Prime factorization of 9110 in exponential form is:

9110 = 21×51×9111

∴ So by taking common prime factors GCF of 9107 and 9110 is 1

Greatest Common Factor of 9107 and 9110 by matching factors method

Factors of 9107

List of positive integer factors of 9107 that divides 9107 without a remainder.

1,7,1301,9107

Factors of 9110

List of positive integer factors of 9110 that divides 9110 without a remainder.

1,2,5,10,911,1822,4555,9110

Greatest Common Factor

We found the factors and prime factorization of 9107 and 9110. The biggest common factor number is the GCF number.
So the greatest common factor 9107 and 9110 is 1.

Also check out the Least Common Multiple of 9107 and 9110

Properties of GCF 9107 and 9110

(i) The GCF of 9107 and 9110 is associative

GCF of 9107 and 9110 = GCF of 9110 and 9107

Frequently Asked Questions on GCF of 9107 and 9110

1. What is the GCF of 9107 and 9110?

Answer: GCF of 9107 and 9110 is 1.

2. What are the Factors of 9107?

Answer: Factors of 9107 are 1, 7, 1301, 9107. There are 4 integers that are factors of 9107. The greatest factor of 9107 is 9107.

3. What are the Factors of 9110?

Answer: Factors of 9110 are 1, 2, 5, 10, 911, 1822, 4555, 9110. There are 8 integers that are factors of 9110. The greatest factor of 9110 is 9110.

4. How to Find the GCF of 9107 and 9110?

Answer:

Greatest Common Factor of 9107 and 9110 = 1

Step 1: Find the prime factorization of 9107

9107 = 7 x 1301

Step 2: Find the prime factorization of 9110

9110 = 2 x 5 x 911

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9107 and 9110 is 1